Comparison Tests For Convergence Of Improper Integrals
Comparison Tests For Convergence: Comparison Test 1 (Comparison Of Two Integrals) : If f and g be two positive functions such that f(x)≤g(x) , for all x in [a,b] , then b b (1) ∫ f dx converges , if ∫ g dx converges a a and b b (2) ∫ g dx diverges , if ∫ f dx diverges . a a Comparison Test (2) (Limit Form) : If f and g are two positive functions in [a,b] such that lim f(x)/g(x) = l , x-->a+0 Where l is a non _ zero finite number , b b then the two integrals ∫ f dx and ∫ g dx a a converges and diverges together at a . Theorem Related To Convergence Of Imp