perplexus.info :: Calculus : Rooting For The Limit

Rooting For The Limit (Posted on 2008-04-23)

Evaluate:

Limit ((2^y + 2^2y + 2^3y)/3)^1/y
y → 0

Bonus Question:

Work out the following limit:

Limit ((2^y + 6^y + 18^y)/3)^1/y
y → 0

See The Solution Submitted by K Sengupta

Rating: 3.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Hint

| Comment 5 of 6 |

The given problem as also the bonus question can be solved by more than one method.

For the simplest method, start by taking natural log (base e) of the given expression.

The problem title gives a vital clue regarding the final answer.

Edited on April 25, 2008, 11:50 am

Posted by K Sengupta on 2008-04-25 11:41:53

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