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04 April Shift 2| Let f(x)=∫1_0^𝑥▒(𝑡+sin(1−𝑒^𝑡 ) )𝑑𝑡. Then, lim┬(𝑥→0)〖(𝑓(𝑥))/𝑥^3| JEE MAIN2024
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If `y=e^(-x)cosx` , show that `(d^2y)/(dx^2)=2e^(-x)sinx` .