Explain, in one or two sentences, why the continuity of a function on guarantees that…

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Explain, in one or two sentences, why the continuity of a function

f

[a,b]

guarantees that every sequence of Riemann sums whose maximum subinterval width approaches

0

converges to the same limit.