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(e^(x))/(sin x)...

(e^(x))/(sin x)

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lim_(x rarr0)(e^(x)-e^(sin x))/(x-sin x)

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lim_(x rarr0)(e^(x)-e^(sin x))/(2(x-sin x))=

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lim_(x rarr0)(e^(x)-e^(sin x))/(3(x-sin x))

int_(0)^(pi//2)(e^(sin x))/(e^(sin x)+e^(cos x))dx=

int _ (- pi) ^ (pi) (e ^ (sin x)) / (e ^ (sin x) + e ^ (- sin x)) dx

int (sin x * e ^ (cos x) - (sin x + cos x) e ^ (sin x + cos x)) / (e ^ (2sin x) -2e ^ (sin x) +1) dx

d/(dx) [(e^(sinsqrt(x)) + e^(-sin sqrt(x)))/(e^(sin sqrt(x)) - e^(-sinsqrt(x)))] =