Use the given information:
the functions g:[a,b]->R and h:[a,b]->R are continuous with h(x) >= 0 for all x in [a,b], and there is a point c in (a,b) such that:
the integral from a to b of h(x)g(x)dx =
g(c) times the integral from a to b of h(x)dx.
to show that the Cauchy Integral Remainder Theorem implies the Lagrange Remainder Theorem if the function f^(n+1):I->R is assumed to be continuous.© BrainMass Inc. brainmass.com March 4, 2021, 5:47 pm ad1c9bdddf
Integral relations are used to prove the continuity of a given function in this solution.