perplexus.info :: Calculus : Empowering Inverse Products

Empowering Inverse Products (Posted on 2008-06-02)

Evaluate:

Limit (sin^-1 y * sin y – y²)/y⁶
y → 0

Bonus Question:

Work out the following limit:

Limit (tan^-1 y * tan y – y²)/y⁶
y → 0

Submitted by K Sengupta

Rating: 2.0000 (1 votes)

Solution: (Hide)

The required limit is 1/18.

Bonus Question:

The required limit is 2/9.

EXPLANATION:

Refer to the solution submitted by Praneeth in this location.

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A generalisation to the given problem has been posited by Eigenray in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Solution	K Sengupta	2008-07-03 12:25:58
re: more generally	K Sengupta	2008-07-03 12:25:01
more generally	Eigenray	2008-06-04 13:01:27
re(2): Solution _Praneeth	Praneeth	2008-06-03 05:46:40
re: Solution _Praneeth	brianjn	2008-06-03 05:27:54
Solution	Praneeth	2008-06-03 04:08:08
quick solution	Daniel	2008-06-02 13:43:06

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