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Calculating limit - how to arrive at the answer ?

Posted 10 years ago
Limit[-3 x + 3 Log[-1 + E^x], x -> Infinity]
How can the answer 0 be found ? (Log is natural logarithm)
POSTED BY: Marc D. G.
3 Replies
Posted 10 years ago

Thanks !

POSTED BY: Marc D. G.

Quite easy to explain in simple words:

-1+E^x tends to E^x for large x. So Log[E^x] = x for large x, what you are left with is -3x + 3x = 0

POSTED BY: Sander Huisman

Quite easy to explain in simple words:

-1+E^x tends to E^x for large x. So Log[E^x] = x for large x, what you are left with is -3x + 3x = 0

POSTED BY: Sander Huisman
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