Calculus - Limit (exam prob)

43

also 59 (p)

lim(nâ†’âˆž) (n!)¹ⁿn

229

Dwijaraj Paul Chowdhury ·2013-06-19 09:46:15

for 57...lim does not exist(taking LHL and RHL)
Hence answer would be (a)

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Jeet Sen Sharma i got the ans by solving d other limits in d ques, but hw 2 guess tht d limit wnt exist for dis one.. as whn evaluating, d limit comes out easily to b "1"
Upvote·0· Reply ·2013-06-19 11:22:41
Dwijaraj Paul Chowdhury Yeah....the 2nd limit was also coming as 1...so I thought that there was a mistake in the question.. .nd that was the only option satisfying the fourth limit :p
Upvote·0· Reply ·2013-06-19 17:09:39
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1

Hello the second one the limit exists and is equal to 1/e. It is solved by newton-leibnitz method.

1357

Manish Shankar ·2013-06-20 07:14:52

2nd one
Limit as a sum

take log and write it in summation form

43

for 2nd one.
with its coming like Î£h log(rh) which goes to âˆ«(logx)dx with limit 0 to 1. !!!

Limit (exam prob)