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Question
`lim_(x→∞)((x + 7)/(x + 2))^(x + 4)` is ______.
Options
e2
e3
e4
e5
MCQ
Fill in the Blanks
Solution
`lim_(x→∞)((x + 7)/(x + 2))^(x + 4)` is `underlinebb(e^5)`.
Explanation:
`lim_(x→∞)(1 + 5/(x + 2))^(x + 4)` (1∞ form)
= `lim_(x→∞) (5(x + 4))/(x + 2)`
= e5
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Concept of Limits
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