Let f : [−π/2,π/2]→R be a differentiable function such that f ( 0 ) = 1/2 ..then 8𝛼² is equal to :

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Q) Let 𝑓:[−𝜋/2,𝜋/2]→𝑅 be a differentiable function such that 𝑓(0)=1/2. If the lim(𝑥→0) (𝑥∫0^𝑥  𝑓

Let f: R → R be a differentiable function such that f(0)=0, f(π/2)=3 and f^'(0)=1. If g(x)=∫_x^π/...

This is a very famous limit

Continuity and Differentiability EXPLAINED with Examples

Let f:[−π/2,π/2]→R be a differentiable function such that f(0)=12, If thelimx→0x∫x0f(t)dt/e^x^2−1=α,

Let f:(-∞,∞)-{0} →R be a differentiable function such that f'(1) = lim(a→∞) a² f(1/a). Then lim(a→∞

Let f:R-R be a differentiable function such that f(pi/4)=root2,f(pi/2)=0&f’(pi/2)=1&let g(x)=[f’(t)

Checking the Continuity of a Function #jeedailyconcepts #limitsandcontinuity