Limited yet powerful (IV)

Calculus Level 4

lim ⁡ x → 0 ( tan ⁡ x − x ) 1 / ln ⁡ ( sin ⁡ x ) \large \lim_{x\to0 } \left( \tan x - x \right)^{1/\ln(\sin x) } If the value of the limit above is equal to e N e^N , find the value of N N .


The answer is 3.

Noel Lo by Noel Lo , 24, Singapore

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1 solution

Noel Lo
Dec 27, 2015

See below for the step-by-step solution:

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