- #1

eljose

- 492

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

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- Thread starter eljose
- Start date

- #1

eljose

- 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

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Same goes for your other problem as well.

- #3

TOKAMAK

- 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.

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