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How do you use the ratio test to test the convergence of the series #∑k/(3+k^2) # from k=1 to infinity?

How about solution?

Does the value of a function at a point have to exist in order for the limit to exist at that point?

Is sin(π/2*n^1/n) converges or diverges ???? Help asap , thanks

How do you find the maclaurin series expansion of #f(x) = ln abs(1+x^5)#?

What is #f(x) = int xe^xx dx# if #f(1) = 1 #?

How do you find the antiderivative of #int x^2/(4x^2) dx#?

What is the derivative of #ln(2x+1)#?

How do you use the first and second derivatives to sketch #f(x) = sqrt(4  x^2)#?

What is the integral of cosine^6 (x) dx ?

What is the derivative of #arcsec(x/2)#?

Determine convergence or divergence for this series ?
sin k/(k+1)!

Is the statement "if limit of f(x)=L as x approaches c, then f(c)=L" a true or false statement?

Find #lim_{x to oo} {pi/2  arctan(x)}^(1/x)# ?

How do you prove that the limit of #5x^2 =5# as x approaches 1 using the epsilon delta proof?

How would you integrate #ln(x^2 + 1)#?

How many critical points can a quadratic polynomial function have?

Identify whether the infinite series converge absolutely conditionally or dont
#sum_(n=1)^oo (1)^(n+1) (n (arctan(n+1)arctan (n))#
(Apply Mean Value theorem to conclude)?

How do you use the integral test to determine the convergence or divergence of #Sigma 1/sqrtn# from #[1,oo)#?

#lim_(n>oo)prod_(k=2)^n(11/k^2)#?

Put limit in big O little O notation?

Lim (sin3t)/(sin2t)
x>0
how do we find it's limit?

How do you find #a# for the derivative of #f(x)=x^2ax# if the tangent has a yintercept of 9 at the vertex?

Solve in series #x^2#y''+xy'+(#x^2k^2#)y=0?

How do you find the derivative of #y=tan(x)# using first principle?

Using the definition of convergence, how do you prove that the sequence #{5+(1/n)}# converges from n=1 to infinity?

Help with a problem?

How to show that #1/(2a) ln (x  a)/(x + a) + C# is equal to #1/(2a) ln (x + a)/(x  a) + K#?

How do I evaluate #int\sqrt{20x^{2}5}dx#?

How can I solve this limit?
lim x>0 (sin^3x) /(xsinx)^3

How do you integrate #int x/sqrt(3x^26x+17) dx# using trigonometric substitution?

Find #lim_{x to infinity} {pi/2  arctan (x)}^1/x# ?

How do you find a power series representation for #f(x)= x/(9+x^2)# and what is the radius of convergence?

How do you integrate #1/(x^2+25)#?

How to solve this using limit of sum? #int_0^1xe^xdx#

What is the antiderivative of #ln x / x^(1/2)#?

Why isn't #dy/dx = 3x + 2y# a linear differential equation?

How do you integrate sec(x)^2(1+sin(x))?

What is the interval of convergence of the Taylor series of #f(x)=cos(3x^2)#?

How do you find a power series representation for #f(x)=ln(1+x)# and what is the radius of convergence?

Let p be a +ve rational number if x^p is defined then lim xinfinity a/x^p = ???

Given Y=sin(2sin^1(x)), find dy/dx ?

Solve the differential equation cos(x)dy/dx+y=sin(x) given that Y=2 when X=0 ?

Lim x>0 (1cos3x)/(tan^2 3x)
How can I solve this limit?

If function #f# is differentiable at #c#, simplify #lim_(h>0)((f(c+h^2)f(c))/h)#?

How do you use the integral test to determine whether #int dx/lnx# converges or diverges from #[2,oo)#?

What is the Taylor series expansion for the function f(x)=[1cos(x)]/sin(x) ?

What is the derivative of the function g(x)=ln(cosx) ?

Tanx/sin2x?
limit x>0

Evaluate the taylor series sum: #sum_{n=2}^{∞} {(1)^n 3^{n1}(2n)}/(2^{2n1})# ?

How do you integrate #x^2/((x3)^2(x+4))# using partial fractions?

Is it possible to evaluate #sum_(n=1)^oosqrt(4n^2x^21)/(4n^2)# in terms of #x#?

If y/x= arctan(x/y), then dy/dx= ?

Find a general solution y (x) of nonhomogeneous linear equations of the 2nd order with constant coefficients and special right side. How to solve? (pictures below) Thank you a lot!

How do you find the limit of #ln x * tan^1(x)# as x approaches infinity?

How do you integrate #int 1/sqrt(x^216x7) # using trigonometric substitution?

Use the integral method to determine if the series converge or diverge:?

Lim x>0 [log(1+ax)+log(1+bx)]/x =?

Using the definition of convergence, how do you prove that the sequence #lim 1/(6n^2+1)=0# converges?

How do you evaluate the definite integral #int e^(x) dx# from #[0,2]#?

How solve Derivatives of Trigonometric Functions?

Differential:
y = 1/tan x 1/cot x ?

What is the Antiderivative of (12x)/(x+1)?

How do you find the maclaurin series expansion of #f(x) = e^(3x)#?

How do you find the derivative of #(x3) /( 2x+1)#?

How do you integrate #int (2x^2)/sqrt(x^24)dx# using trigonometric substitution?

Integrate 2y^2/y^2+4?

How to show that a triangle of maximum area inscribed in a given circle is an equilateral triangle?

How to evaluate #int_1^2(e^(2x)/(e^x1))# ? Can you solve it without substitution and somehow use chain rule?

What is the limit as x approaches infinity of #e^(2x)cosx#?

How do you find the integral of #[x^4(sinx) dx] #?

Can we calculate integral of cos^4x
as (cos^2x)^2 instead of cos^3x*cosx?

Does this integral converge or do not converge? #int_(1/2)^2(1)/(x(lnx)^4)dx#

Is the following series convergent?

How do you integrate #int x^2/sqrt(16x^2)# by trigonometric substitution?

What is #f(x) = int 1/((x+3)(x^2+4) dx# if #f(2) = 0 #?

How do you determine the limit of #1/(x2)^2# as x approaches 2?

Differentiate the function with respect to x : e^x secX ?

What is the derivative of #y= ln abs(secxtanx)# for #x>0#?

Sin(2sin^1x)=?

How do you evaluate the integral of #int sqrt (x^2 + 2x) dx#?

What is #f(x) = int cotxsec2x dx# if #f(pi/3)=1 #?

What is the derivate of...?

I need to find the derivative of a function for a given value of the argument
Can smb help?

How do you use the limit definition to find the derivative of #f(x)=(x+1)/(x1)#?

How can you find the antiderivative of 1/(1+3x²) ?

What is the smallest parameter possible for a rectangle whose area is 16 square inches and what are it’s dimensions?

How do you prove a limit of (x^2+3) as x approaches 1 equal 4? Thanks

How do you integrate #int x/ (x^32x^2+x)# using partial fractions?

What is the antiderivative of #x/(x^2 + 4)#?

Is there a summation rule for continuous functions?

How do you test the alternating series #Sigma (1)^n/(ln(lnn))# from n is #[3,oo)# for convergence?

How do you test the alternating series #Sigma (1)^nsqrtn# from n is #[1,oo)# for convergence?

How do you find the nth partial sum, determine whether the series converges and find the sum when it exists given #1+3/4+9/16+...+(3/4)^n+...#?

How to solve #int_(pi/3)^(pi/3)# #(x + tan x)^2dx#?

What is continuity at a point?

How do you prove that the limit of #(2x^2 + 1) = 3 # as x approaches 1 using the epsilon delta proof?

Find the value of the taylor series sum: #sum_{n=4}^∞ \frac{(n+1)(n)2^n}{3^n}# ?

Find the value of the power series sum: #sum_{n=2}^∞ \frac{(1)^n}{(2n+1)(2n+2)3^n}# ?

Would like to solve this integral but it kind of messy especially when it comes to end?

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