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Question
`lim_(x -> 0) ((2 + x)^5 - 2)/((2 + x)^3 - 2)` = ______.
Options
0
1
`20/3`
`3/20`
MCQ
Fill in the Blanks
Solution
`lim_(x -> 0) ((2 + x)^5 - 2)/((2 + x)^3 - 2)` = `20/3`.
Explanation:
Applying L-Hospital 's rule,
`lim_(x -> 0) ((2 + x)^5 - 2)/((2 + x)^3 - 2) = lim_(x -> 0) (5(2 + x)^4)/(3(2 + x)^2)`
= `20/3`
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Concept of Limits
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