Crazy Calculus 2

Calculus Level 3

If $\displaystyle a= \lim _{x \to 0^+} \ x^ m(\ln x)^n$ , where $m$ and $n$ are natural numbers , then which of the following is true?

a

is independent of

m

and

n

a

is dependent on

m

and independent of

n

a

is independent of

m

and dependent on

n

a

is dependent of

m

and

n

1 solution

Avinash Bhawnani
Jul 15, 2016

Lim(×-->0) xlog(x) =0 ##base of log should be greater than 1. So as the question suggest that m & n are natural nos. therefore it doesn't affect the ans. as 0^a is also 0 where a€N.

Crazy Calculus 2

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