(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

evaluate lim(x->0) (tan^8(t))dt(between 0 and sin^2x)

2. Relevant equations

3. The attempt at a solution

[tan^8(sin^2(x))]/sin^18(x)

my book says to use l'hospital's rule, so i continued with

[8tan^7(sin^2x)*sec^2(sin^2(X))*2sinxcosx]

but my book says i should just have

[tan^8(sin^2x)*2sinxcosx]/18sin^17(x)cos(x)

why did they only partially differentiate tan^8(sin^2(x))?

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# L'hospital's rule with trig functions

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