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Let f(x) be a continuous function in an interval a,b, andlet N be any number between f(a) andf(b) Thenthere is a number c in a,b such thatf(c) = N 3A preliminary result about the definite integral Theorem Let f(x) be a continuous function on the interval a,b Then there exists a c in_ Ƌ ̃R ~ j e B ^ c B Ⓦ Q V E ̔ O A X g U A ̋ ꏊ _ ̍U Q O O T N P Q W Z K 甭 ̃n h { C h A N V A h F ` Q ł B N Ώۂ グ ܂ł ps2 Q ̏펯 ł͓ ݍ ߂Ȃ ̈ ɓ ܂ B D w Ȃ̂ b ̂ЂƂ ł BFor any f(n) = O(g(n)), eg f(n) = g(n) = 1, it is not true 2 Handout 8 Problem Set 1 Solutions Problem 12 Recurrences Give asymptotic upper and lower bounds for T(n) in each of the following recurrences Assume that T(n) is constant for n ≤3 Make your bounds as tight as possible, and justify your answers Web Stanford Edu ƒ~ƒfƒBƒAƒ€ ƒXƒgƒŒ[ƒg 'O"¯‚Ï‚Á‚‚ñ