co 47. The lim (cos x) cotx is X- 0...
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co 47. The lim (cos x) cotx is X- 0 (2) - 1 (c) 1 (b) 0 (d) None of these

JEE/Engineering Exams
Maths
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( =L ) Let ( frac{lim _{D}(cos x)}{x-0} ) faking log ( log L=log left[lim _{x rightarrow 0}(cos x)^{cot x}right. ) ( log L=lim _{x rightarrow 0} log (cos n)^{cot x} ) ( left[=log m^{n}=n log mright] ) ( Rightarrow log L=lim _{x rightarrow 0} cot x log (cos x) ) ( [0 . infty quad text { form }] ) ( therefore log L=lim _{x rightarrow 0} frac{log (cos x)}{tan x} ) s) ( log L=lim _{x rightarrow 0}left(-tan x cos ^{2} xright) ) 3 ( log L=-0 times(1)^{2} ) I ( quad log L=0 ) ( Rightarrow quad L=e^{0}=1 Rightarrow mid frac{L=1}{text { oplion }(c)} )
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