Question: prove: Statement 1. If the improper integral from 1 to infinity f(x)dx converges, then the function f has a horizontal asymptote statement 2. If the

prove:

Statement 1.

If the improper integral from 1 to infinity f(x)dx

converges, then the function f has a horizontal asymptote

statement 2.

If the function f is defined everywhere on the interval[a, b], and integral from a to b

f(x)dx exists, then f has an antiderivative on the interval [a, b]

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