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Question
`lim_{x→∞} ((3x + 3)^40(9x - 3)^5)/(3x + 1)^45` = ______
Options
9
27
243
81
MCQ
Fill in the Blanks
Solution
`lim_{x→∞} ((3x + 3)^40(9x - 3)^5)/(3x + 1)^45` = 243
Explanation:
`lim_{x→∞} ((3 + 3/x)^40(9 - 3/x)^5)/(3 + 1/x)^45 = (3^40. 9^5)/(3^45) = 3^5 = 243`
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Limits of Exponential and Logarithmic Functions
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