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Question

limx2x+7sinx4x+3cosx=

A
1
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B
1
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C
12
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D
12
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Solution

The correct option is C 12
We divide both the numerator and denominator by x.
Since, from the property of trigonometric functions we know that sinx and cosx can only have their values between 1 and 1
Thus, the expression transforms to,
limx2+7sinxx4+3cosxx
Now applying the limit,
=2+04+0
=12
Hence, option 'C' is correct.

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