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Q96 h² sin² h o a) Show cos h - 1 = cosh + 1 h² o b) Use a standard trigonometric identity to prove and hence cos h -1 = o(h) as h→0. sin(x + h) - sinx - h cos x = (cosh−1)sinx+(sinh— h)cosæ. oc) Deduce sin(x+h)- sinx-h cos x = o(h) as h→0.

Q96 h² sin² h o a) Show cos h - 1 = cosh + 1 h² o b) Use a standard trigonometric identity to prove and hence cos h -1 = o(h) as h→0. sin(x + h) - sinx - h cos x = (cosh−1)sinx+(sinh— h)cosæ. oc) Deduce sin(x+h)- sinx-h cos x = o(h) as h→0.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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• Q96 sin² h h²2 o a) Show cos h - 1 = cosh + 1 h² ob) Use a standard trigonometric identity to prove and hence cos h - 1 = o(h) as h→ 0. sin(x + h) — sinx - h cos x = (cosh − 1) sin x + (sin h – h) cosx. oc) Deduce sin(x + h) — sinx - h cos x = o(h) as h→0.
Transcribed Image Text:• Q96 sin² h h²2 o a) Show cos h - 1 = cosh + 1 h² ob) Use a standard trigonometric identity to prove and hence cos h - 1 = o(h) as h→ 0. sin(x + h) — sinx - h cos x = (cosh − 1) sin x + (sin h – h) cosx. oc) Deduce sin(x + h) — sinx - h cos x = o(h) as h→0.
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