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Given a real valued function f such that...

Given a real valued function `f` such that `f(x)={(tan^2{x})/((x^2-[x]^2))for\ x >0 1\ for\ x=0{x}cot{x}for\ x<0` Where `[x]` is the integral part and `{x}` is the fractional part of `x` then `(lim)_(x->0^+)f(x)=1` b. `(lim)_(x-0^-)f(x)=cot1` c. `cot^(-1)((lim)_(x->0^-)f(x))\ ^2=1` d. `tan^(-1)((lim)_(x->0^+)f(x))=pi/4`

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  9. (lim)(x->0)([100 x/(sin\ x)]+[100(tanx)/x])=

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  10. (lim)(x->0)([100(sin^(-1)\ x)/x]+[100(tan^(-1)x)/x])=

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  11. (lim)(x->0)([100 x/(sin^(-1)x)]+[100(tan^(-1)x)/x])=

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  16. (lim)(x->\ oo)(x/(1+x))^x equals

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