# math

posted by .

Is the answer is correct ??

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

is the answer is 1 ???

• math -

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

• math -

thanks

• math -

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

• math -

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

• math -

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

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