Question

Verify Lagrange's theorem for f(x) = log, x on
[1,e]​

Answer 1

Answer:

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Answer 2

Answer:

The function f given as f(x) = log x is a logarithmic function which is continuous for all positive real numbers. Hence, it is continuous on [1, e] and differentiable on (1, e). Thus, the function f satisfies the conditions of Lagrange's mean value theorem. Hence, Lagrange's mean value theorem is verified.