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85-102. Miscellaneous limits by any means Use analytical methods to evaluate the following limits. V5x + 2 – 2 6 1/x - 1/6 85. lim 86. lim x? In cos- 87. lim (VI – 2 – Vĩ – 4) 88. lim (7 - 2r) tan x x/2 89. lim x sin 90. lim (x?e/ – x² – x) 91. lim 1* \x - 1 92. lim x'/In x log2 x » log3x 93. lim 94. lim (log2x – log3x) 1 + 2 +.. + n 95. lim n2 п(п + 1) Hint: Use 1 + 2 + .. + n = 1/x x In x – x + 1 x In? x sin x 96. lim 97. lim x In x + In x x² In³ x 2x + 2 98. lim 99. lim x'/(1+ In x) 100. lim ( cot--n 101. lim (n cot -- n? n 102. lim n? In n sin-

85-102. Miscellaneous limits by any means Use analytical methods to evaluate the following limits. V5x + 2 – 2 6 1/x - 1/6 85. lim 86. lim x? In cos- 87. lim (VI – 2 – Vĩ – 4) 88. lim (7 - 2r) tan x x/2 89. lim x sin 90. lim (x?e/ – x² – x) 91. lim 1* \x - 1 92. lim x'/In x log2 x » log3x 93. lim 94. lim (log2x – log3x) 1 + 2 +.. + n 95. lim n2 п(п + 1) Hint: Use 1 + 2 + .. + n = 1/x x In x – x + 1 x In? x sin x 96. lim 97. lim x In x + In x x² In³ x 2x + 2 98. lim 99. lim x'/(1+ In x) 100. lim ( cot--n 101. lim (n cot -- n? n 102. lim n? In n sin-

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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85-102. Miscellaneous limits by any means Use analytical methods to evaluate the following limits. V5x + 2 – 2 6 1/x - 1/6 85. lim 86. lim x? In cos- 87. lim (VI – 2 – Vĩ – 4) 88. lim (7 - 2r) tan x x/2 89. lim x sin 90. lim (x?e/ – x² – x) 91. lim 1* \x - 1 92. lim x'/In x log2 x » log3x 93. lim 94. lim (log2x – log3x) 1 + 2 +.. + n 95. lim n2 п(п + 1) Hint: Use 1 + 2 + .. + n = 1/x x In x – x + 1 x In? x sin x 96. lim 97. lim x In x + In x x² In³ x 2x + 2 98. lim 99. lim x'/(1+ In x) 100. lim ( cot--n 101. lim (n cot -- n? n 102. lim n? In n sin-
Transcribed Image Text:85-102. Miscellaneous limits by any means Use analytical methods to evaluate the following limits. V5x + 2 – 2 6 1/x - 1/6 85. lim 86. lim x? In cos- 87. lim (VI – 2 – Vĩ – 4) 88. lim (7 - 2r) tan x x/2 89. lim x sin 90. lim (x?e/ – x² – x) 91. lim 1* \x - 1 92. lim x'/In x log2 x » log3x 93. lim 94. lim (log2x – log3x) 1 + 2 +.. + n 95. lim n2 п(п + 1) Hint: Use 1 + 2 + .. + n = 1/x x In x – x + 1 x In? x sin x 96. lim 97. lim x In x + In x x² In³ x 2x + 2 98. lim 99. lim x'/(1+ In x) 100. lim ( cot--n 101. lim (n cot -- n? n 102. lim n? In n sin-
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