Question #f1b4f
3 Answers
Explanation:
First, multiply the top and bottom of the limit by
#lim_(x->0) (x*sin(x^2))/x^2#
Now create a new variable
Note that
We can therefore rewrite the limit as:
#lim_(u->0) sqrtu * (sinu/u)#
#= lim_(u->0)sqrtu * lim_(u->0)sinu/u#
The second limit is one of the famous calculus limits
#= lim_(u->0)sqrtu * (1)#
#= 0 * 1#
#= 0#
Final Answer
Use L'hopital's rule to find that
Explanation:
For
Letting
Explanation:
formula
Now, multiply and divide x
ENJOY MATHS!!!!!