GATE EC 2018 Set 1 — Question 34

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NAT+1 / -0MediumTaylor Series (One & Two Var)CalculusEngineering Mathematics

Engineering Mathematics → Calculus → Taylor Series (One & Two Var)

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Question

Taylor series expansion of f(x)=0xe(t2)2dtf(x) = \int_0^x e^{-\left(\frac{t}{2}\right)^2} dt around x=0x = 0 has the formf(x)=a0+a1x+a2x2+f(x) = a_0 + a_1x + a_2x^2 + \dotsThe coefficient a2a_2 (correct to two decimal places) is equal to _______.
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