मराठी

The value of limx→2e3x-6-1sin(2-x) is ______ -

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प्रश्न

The value of `lim_{x→2} (e^{3x - 6} - 1)/(sin(2 - x))` is ______ 

पर्याय

  • `3/2`

  • 3

  • -3

  • -1

MCQ
रिकाम्या जागा भरा

उत्तर

The value of `lim_{x→2} (e^{3x - 6} - 1)/(sin(2 - x))` is -3.

Explanation:

`lim_{x→2} (e^{3x - 6} - 1)/(sin(2 - x))` 

= `lim_{x→2} (e^{3(x - 2)} - 1)/(3(x - 2)) xx 1/((sin(2 - x))/(-3(2 - x)))`

= 1 × -3 ........`[∵ lim_{x→0} (e^x - 1)/x = 1, lim_{x→0} sinx/x = 1]`

= -3

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Limits of Exponential and Logarithmic Functions
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