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TOPIC 4-5: L'Hôpital's Rule x²-25 x+∞5-4x-x² Q. #11 Please evaluate Lim a) Using L'Hôpital's Rule as follows. Final Answer

TOPIC 4-5: L'Hôpital's Rule x²-25 x+∞5-4x-x² Q. #11 Please evaluate Lim a) Using L'Hôpital's Rule as follows. Final Answer

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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Q.#9 For above function, please find and classify any other removable or non-removable discontinuities elsewhere in the function. If non-removable, classify them as jump or infinite. Hint: Normally one checks transition point(s) and the functions themselves. Q.#8 checked the transition point (x= -1), so leaves only the functions themselves. Final Answers Function 3 1-x for x < -1 a) f(x)=- b) f(x) = 1 c) for x = -1 x-2 x²-4 for x>-1 Continuous where applies ? (Y/N) TOPIC 4-5: L'Hôpital's Rule Q.#10 Using any discontinuities in Q.#8 - Q.#9, please list the intervals of continuity for f(x). Example: If a function has removable discontinuity at x=2, its intervals of continuity are (-∞0, 2) (2, +∞0) or, equivalently, {x|x<2 Ux>2) or {x|x=2} Discontinuous where applies: At x = Removable x²-25 x+ 5-4x-x² Q. #11 Please evaluate Lim a) Using L'Hôpital's Rule Non-removable: Jump Non-removable: Inf. as follows. Final Answer Page 3 of 8 Final Answer
Transcribed Image Text:Q.#9 For above function, please find and classify any other removable or non-removable discontinuities elsewhere in the function. If non-removable, classify them as jump or infinite. Hint: Normally one checks transition point(s) and the functions themselves. Q.#8 checked the transition point (x= -1), so leaves only the functions themselves. Final Answers Function 3 1-x for x < -1 a) f(x)=- b) f(x) = 1 c) for x = -1 x-2 x²-4 for x>-1 Continuous where applies ? (Y/N) TOPIC 4-5: L'Hôpital's Rule Q.#10 Using any discontinuities in Q.#8 - Q.#9, please list the intervals of continuity for f(x). Example: If a function has removable discontinuity at x=2, its intervals of continuity are (-∞0, 2) (2, +∞0) or, equivalently, {x|x<2 Ux>2) or {x|x=2} Discontinuous where applies: At x = Removable x²-25 x+ 5-4x-x² Q. #11 Please evaluate Lim a) Using L'Hôpital's Rule Non-removable: Jump Non-removable: Inf. as follows. Final Answer Page 3 of 8 Final Answer
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