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Question

Solve
limx01cosxcos2xx2

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Solution

limx01cosxcos2xx2
using L' Hospital rule , ie. differentiating numerator and denominator

limx0sinxcos2xcosxcos2x×12(sin2x)×22x
when limx0sinxx=1
cos2x+sin2xcosxcos2x2
1+02=12

1211042_1302442_ans_f382db6c843b48d4a2b92fa4870e3d24.jpg

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