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Evaluate the following Limits: limx→0[log(1+9x)x] - Mathematics and Statistics

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Question

Evaluate the following Limits: `lim_(x -> 0)[(log(1 + 9x))/x]`

Sum

Solution

`lim_(x -> 0)[(log(1 + 9x))/x]`

= `lim_(x -> 0)[(log (1 + 9x))/(9x)] xx 9`

= 1 x 9     ...`[lim_(x -> 0) (log(1 + x))/x = 1]`

= 9

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Limits of Exponential and Logarithmic Functions
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Chapter 7: Limits - MISCELLANEOUS EXERCISE - 7 [Page 106]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] 11 Standard Maharashtra State Board
Chapter 7 Limits
MISCELLANEOUS EXERCISE - 7 | Q II. 9) | Page 106
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