Question

Is the answer is correct ??

lim ((x^10)-1)/(x-1)
x-->0

is the answer is 1 ???

Answer 1

Yes, the limit is 1. The problem for this function is when x>>1

Answer 2

thanks

Answer 3

if it is 1 how would be the answer ???

Answer 4

There is no problem with
lim ((x^10)-1)/(x-1)
x-->0

because you can substitute x=0 and get 1 as bobpursley said.

You probably meant
lim ((x^10 - 1)/(x-1)
x-->1

In that case (x^10 - 1) ÷ (x-1)
= x^9 + x^8 + ... + x + 1

and you have
lim x^9 + x^8 + ... + x + 1
x-->1

= 10

Answer 5

What do you mean by "how would be the answer"? The answer to this problem is 1.