# What is the limit of #(x^2 + x + 4)/(x^3 - 2x^2 + 7)# as x approaches a and when does the limit exist?

##### 1 Answer

May 7, 2015

Let

That is: if

(There is one negative and no positive solutions. Though it takes some algebra to see that.)

Additionally, if the numerator and denominator have any common real zeros, (say