CALCULUS:GRAPHICAL,NUMERICAL,..-PACKAGE
5th Edition
ISBN: 9780133320381
Author: Finney
Publisher: SAVVAS L
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Use the definition of limit of a function to findlim x3 −3x−2. x→2 x2 −3x+2
Let f(x)=2x+5. Find lim h-0 (f(a+h)-f(a)/h)
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Use the Squeeze Theorem to evaluate lim f(x), where f(x) = x²cos (-).
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- Give the function f(x)=₁ State what it means. Evaluate the one-sided limit: lim +f(x). x-1arrow_forwardShow that lim(x+¹)=e².arrow_forwardUse the Squeeze Theorem to show that lim x² cos(207TX) = 0. X → 0 Illustrate by graphing the functions f(x) = -x², g(x) = x² cos(207x), and h(x) = x² on the same screen. Let f(x) = -x², g(x) = x² cos(207tx), and h(x) = x². Then [0 ✓≤ cos(207TX) ≤ 1 f(x) V ≤ x² cos(207Tx) ≤ ? S . Since lim f(x) = lim_h(x) : = X → 0 X → 0 , by the Squeeze Theorem we have lim g(x) X → 0 =arrow_forward
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