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(Solved): 20. What is the significance of having n increase without bound in the limit definition of definite ...
20. What is the significance of having n increase without bound in the limit definition of definite integrals, ?ab?f(x)dx:=limn????i=1n?f(xi??)?x ? To get full credit, you must state what n represents and explain why we consider the limit as n increases without bound. (Note: you can consider xi??= right i? )
In the limit definition of definite integrals, n represents the number of subintervals into which we divide the interval As n increases without bound, the width of each subinterval (denoted by approaches zero, and the number of subintervals approaches infinity.