- #1

- 492

- 0

another question what would be the limit of [tex] (1+x)^i [/tex] tending x to infinite?..thanx

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter eljose
- Start date

- #1

- 492

- 0

another question what would be the limit of [tex] (1+x)^i [/tex] tending x to infinite?..thanx

- #2

Zurtex

Science Advisor

Homework Helper

- 1,120

- 1

Same goes for your other problem as well.

- #3

- 45

- 0

[tex] e^{ix} [/tex]

is bounded:

[tex] e^{ix} = \cos(x) + i\sin(x) [/tex]

so, for large, or arbitrary x, e^{ix}, the imaginary part will never be greater than 1, and the real part will never be greater than 1.

Thus, if you had:

[tex] \lim_{x \rightarrow \infty} e^{(i-1)x} [/tex]

the e^{-x} part forces the whole thing to go to zero.

Share: