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NCERT Class XI Mathematics - Limits and Derivatives - Solutions

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Question : 12 of 72
Marks: +1, -0
limx21x+12x+2\lim\limits_{x\to -2} \frac{\frac{1}{x} + \frac{1}{2}}{x+2}
Solution:  
We have, limx21x+12x+2\lim\limits_{x\to -2} \frac{\frac{1}{x} + \frac{1}{2}}{x+2}
= limx2x+22xx+2\lim\limits_{x\to -2} \frac{\frac{x+2}{2x}}{x+2} = limx212x\lim\limits_{x\to -2} \frac{1}{2x} = 12(2)\frac{1}{2(-2)} = 14\frac{1}{-4}.
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