Question

can someone help me show this:
lim (((n+1)^m )-n^m)
n->+inf ---------------- = m
n^(m-1)

Answer 1

sorry, i don't understand the front part of:

x--+oo

Answer 2

\[\LARGE \lim_{x \rightarrow +\infty} \frac{(((n+1)^m )-n^m) }{n^(m-1)}\]

Answer 3

but the point is where is X in the question?

Answer 4

The denominator wnats in the parantheses is in exposant

Answer 5

No its show that this equation = m

Answer 6

\[\LARGE \lim_{x \rightarrow +\infty} \frac{(((n+1)^m )-n^m) }{n^{(m-1)}}\]

Answer 7

limit x tending to infinity,the question is wrong

Answer 8

Sorry its n

Answer 9

\[\LARGE \lim_{n \rightarrow +\infty} \frac{(((n+1)^m )-n^m) }{n^{(m-1)}}\]

Answer 10

thats right .

Answer 11

Do you know how it equals m ?