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"If "f(x)=lim(hrarr0) ((sin(x+h))^(log(e...

`"If "f(x)=lim_(hrarr0) ((sin(x+h))^(log_(e)(x+h))-(sin x)^(log_(e)x))/(h)" then find "f(pi//2).`

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To solve the problem, we need to find the value of the function \( f(x) \) defined by the limit: \[ f(x) = \lim_{h \to 0} \frac{(\sin(x+h))^{\log_e(x+h)} - (\sin x)^{\log_e x}}{h} \] We are specifically interested in finding \( f\left(\frac{\pi}{2}\right) \). ...
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