Question

( x^2 + x + 1) / (x-1). find the limit as x reaches 1

Answer 1

are you sure with your equation?

Answer 2

3

Answer 3

oh yes, people say it does not exist but i think the answer is 3

Answer 4

and how did you conclude that?

Answer 5

using the l'hopital rule

Answer 6

first get the derivatives then put the limit in.

Answer 7

i have another question, can you help me with it?

Answer 8

(x^3 - 7x) / X^3. find limit as x reaches 0. is the answer 1 or does not exist?

Answer 9

it dose not exist because at the last x you still get over 0.

Answer 10

did you try long division?

Answer 11

\[\lim_{x\rightarrow 1}\frac{x^2+x+1}{x-1}=\frac{3}{0}=\infty\]

Answer 12

okay, thanks

Answer 13

\[\lim_{x\rightarrow 0}\frac{x^3-7x}{x^3}=\lim_{x\rightarrow 0}\frac{3x^2-7}{3x^2}=\frac{-7}{0}=\infty\]