Question

Solve the limit algebraically

limx->1 (x^3-1)/(x-1)

i just want to check to see if i am doing the right thing because my algebra is rusty

Answer 1

\[\frac{(x-1)(x^2+x+1)}{x-1}\]

so the x-1 cancels

Answer 2

and were left with

\[x^2+x+1\]

Answer 3

which is 3

Answer 4

thats right.... the lim of that is 3 ... yaaah

Answer 5

yay! lol...

Answer 6

thanks lalaly

Answer 7

;) no problem :D:D

Answer 8

x^3-1^3/x-1=3x^2

Answer 9

cannot solve by finding the derivative lol...

Answer 10

the answer is \[3x ^{2}\]

Answer 11

by the derivative rules..