Question

Verify convolution theorem of Fourier transform for f(x) = e^(〖-x〗^2 ) and g(x) = e^(〖-x〗^2 ).​

Answer 1

Let f(x) = x + (1/x) in the interval [1, 3] Since, f(x) is a polynomial function, therefore, it is continuous and derivable in (1, 3). ⇒ f satisfies conditions of Mean Value theorem in [1, 3], Thus, there exists at least one real c ∈ (1, 3) such thatRead more on Sarthaks.com - https://www.sarthaks.com/826046/verify-the-lagranges-mean-value-theorem-for-the-function-f-x-x-1-x-in-the-interval-1-3

Hence, Mean Value theorem for the given function is verified in the given interval.Read more on Sarthaks.com - https://www.sarthaks.com/826046/verify-the-lagranges-mean-value-theorem-for-the-function-f-x-x-1-x-in-the-interval-1-3