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Limits. Definitions Precise Definition : We say lim f ( x ) = L if Limit at Infinity : We say lim f x = L if we. x a (. ) x ®¥. for every e > 0 there is a d > 0 such that can make f ( x ) as close to L as we want by whenever 0 < x - a < d then f ( x ) - L < e . taking x large enough and positive.
28 Μαΐ 2023 · Converges if lim n->∞ =L. Diverges if lim n->∞ S n =∞ or DNE. S n is the partial sum of the series: S n =Σ ni=1 (b i -b i+n) where n is finite. Alternating Series Estimation Theorem: If S n =Σ ni=1 (-1) n b n or Σ ni=1 (-1) n-1 b n is the sum of an alternating series that converges, then |R n |=|S-S n |≤b n+1.
Title: Calculus_Cheat_Sheet_All Author: ptdaw Created Date: 11/2/2022 7:20:00 AM
Calculus II Spring 2004 Chris Wendl. Final Exam: Formula Sheet. 1. Some useful antiderivatives: sec2 x dx = tan x + C. sec x dx = ln. sec x tan x dx = sec x + C. 2. Triogonometry: sec x + tan x| + C. csc2 x dx = − cot x + C. csc x dx = ln | csc x − cot x| + C. csc x cot x dx = − cscx + C.
page sheet with selected formulas. In particular this sheet will have formulas for the derivatives of the inverse trigonometric functions, and the double angle formulas for sines, cosines, and tangents.
Conver gen ce| D iv e rgence test N term test for divergence lim(n>∞) an ≠0 ∑an diverges P-Test converge p>1 diverge p≤1 Limit Comparison L= lim(n>∞) (an/bn) L≠0 series both diverg e|c ‐ ... Calculus 2 Cheat Sheet by ejj1999 - Cheatography.com Created Date:
Find all critical points of f(x) in [a; b]. Evaluate f(x) at all points found in Step 1. Evaluate f(a) and f(b). Identify the absolute maximum (largest function value) and the absolute minimum (smallest function value) from the evaluations in Steps 2 & 3.
