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Limx→0log(1+5x2)x is equal to ______. -

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Question

`lim_(x -> 0) (log(1 + (5x)/2))/x` is equal to ______.

Options

  • `5/2`

  • `(-5)/2`

  • `(-5)/2`

  • `5/2`

MCQ
Fill in the Blanks

Solution

`lim_(x -> 0) (log(1 + (5x)/2))/x` is equal to `5/2`.

Explanation:

`lim_(x -> 0) (log(1 + (5x)/2))/((5x)/2)  * 5/2 = 5/2`

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Limits of Exponential and Logarithmic Functions
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