Let f:RRbe a differentiable function such that f(0),f(2π)=3andfprime(0)=1.If g(x)=∫x2π[fprime(t)cosect−cottcosectf(t)]dtforx(0,2π],then (lim)x0g(x)=

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Let {f}:{R}{{R}}be a differentiable function such that {f{{({0

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Let $f : R R$ be a differentiable function such that $f (0), f (\frac{π}{2}) = 3 a n d f^{p r i m e} (0) = 1 .$ If $g (x) = \int_{x}^{\frac{π}{2}} [f^{p r i m e} (t) cos e c t - cot t cos e c t f (t)] d t f or x (0, \frac{π}{2}],$ then $(lim)_{x 0} g (x) =$

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Jack Discussed

Let

f : R R

be a differentiable function such that

f (0), f (\frac{π}{2}) = 3 a n d f^{p r i m e} (0) = 1 .

g (x) = \int_{x}^{\frac{π}{2}} [f^{p r i m e} (t) cos e c t - cot t cos e c t f (t)] d t f or x (0, \frac{π}{2}],

then

(lim)_{x 0} g (x) =

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Question Text	Let $f : R R$ be a differentiable function such that $f (0), f (\frac{π}{2}) = 3 a n d f^{p r i m e} (0) = 1 .$ If $g (x) = \int_{x}^{\frac{π}{2}} [f^{p r i m e} (t) cos e c t - cot t cos e c t f (t)] d t f or x (0, \frac{π}{2}],$ then $(lim)_{x 0} g (x) =$
Answer Type	Video solution: 1
Upvotes	150