Let f(2)=4 and f (2)= 4. Then, lim ...
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Let f(2)=4 and f (2)= 4. Then, lim «f(2)=21(X) is given x2 X-2 by (2002) (a) 2 (c)-4 (b)-2 (d) 3

JEE/Engineering Exams
Maths
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( frac{lim _{x rightarrow 2} x+(2)-2+(x) cdot lim _{x rightarrow 2} 2+(2)-2+(2)}{2} ) ( lim _{x rightarrow 2} frac{d}{d x} frac{operatorname{agp}(2+12)-2+(x)]}{frac{d}{d x}(x-2]}=frac{lim _{x rightarrow 2} frac{f(2)-2 f(x)}{-2}}{x rightarrow 2} ) ( =lim _{x rightarrow 2} frac{(2)-2 f^{prime}(2)}{-2} ) ( =tan frac{4-2(4)=4-8}{-2} ) ( =frac{-4}{-2}=2 ) OplionA
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