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Find the limit. (Hint: Let x = 1/t and find the limit as t→ 0+.) lim 3x tan (²) x →∞0 Step 1 You are asked to find the limit of the function 3x tan as x → ∞o. Attempting to evaluate the limit produces an indeterminate form. Thus, we need to rewrite the function in an equivalent form that the limit can be determined. Substitute x = and find the limit as t→ 0+. 3 tan(8t) lim 3x tan (²) X→∞ = lim t-0+ = lim t-0+ sin(8t) t Submit Skin (you cannot come back)

Find the limit. (Hint: Let x = 1/t and find the limit as t→ 0+.) lim 3x tan (²) x →∞0 Step 1 You are asked to find the limit of the function 3x tan as x → ∞o. Attempting to evaluate the limit produces an indeterminate form. Thus, we need to rewrite the function in an equivalent form that the limit can be determined. Substitute x = and find the limit as t→ 0+. 3 tan(8t) lim 3x tan (²) X→∞ = lim t-0+ = lim t-0+ sin(8t) t Submit Skin (you cannot come back)

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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Find the limit. (Hint: Let x = 1/t and find the limit as t → 0†.) 8 (²) Step 1 lim 3x tan x → ∞ 8 as x → ∞. Attempting to evaluate the limit produces an indeterminate form. Thus, we need to rewrite the function in an X You are asked to find the limit of the function 3x tan equivalent form that the limit can be determined. Substitute x = and find the limit as t → 0+. Submit lim 3x tan X→→∞ 8 X = = lim t→0+ lim t→0+ Skin (you cannot come back! 3 tan(8t) sin (8t) t 3
Transcribed Image Text:Find the limit. (Hint: Let x = 1/t and find the limit as t → 0†.) 8 (²) Step 1 lim 3x tan x → ∞ 8 as x → ∞. Attempting to evaluate the limit produces an indeterminate form. Thus, we need to rewrite the function in an X You are asked to find the limit of the function 3x tan equivalent form that the limit can be determined. Substitute x = and find the limit as t → 0+. Submit lim 3x tan X→→∞ 8 X = = lim t→0+ lim t→0+ Skin (you cannot come back! 3 tan(8t) sin (8t) t 3
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Find the limit. (Hint: Let x = 1/t and find the limit as t → 0+.) 8 an (3) Step 1 lim 3x tan X→→∞0 You are asked to find the limit of the function 3x tan equivalent form that the limit can be determined. Substitute x = Submit and find the limit as t→ 0+. t lim 3x tan X→ ∞ lim t→0+ Since t → 0+, 8 (³) Step 2 Rewrite as a product of limits. sin(8t) t = sin (8t) t lim t→0+ = lim t → 0+ 3 cos(8t) sin(8t) t Skin (you cannot come back) tan() as x → ∞. Attempting to evaluate the limit produces an indeterminate form. Thus, we need to rewrite the function in an = lim t→0+ t 3 tan(8t) cos (8t) sin (8t) and cos(8t) - 3 cos (8t) 3 lim t→0+ cos(8t)
Transcribed Image Text:Find the limit. (Hint: Let x = 1/t and find the limit as t → 0+.) 8 an (3) Step 1 lim 3x tan X→→∞0 You are asked to find the limit of the function 3x tan equivalent form that the limit can be determined. Substitute x = Submit and find the limit as t→ 0+. t lim 3x tan X→ ∞ lim t→0+ Since t → 0+, 8 (³) Step 2 Rewrite as a product of limits. sin(8t) t = sin (8t) t lim t→0+ = lim t → 0+ 3 cos(8t) sin(8t) t Skin (you cannot come back) tan() as x → ∞. Attempting to evaluate the limit produces an indeterminate form. Thus, we need to rewrite the function in an = lim t→0+ t 3 tan(8t) cos (8t) sin (8t) and cos(8t) - 3 cos (8t) 3 lim t→0+ cos(8t)
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