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Grade 12Differential Calculus

Find the value of a such that f(x)= (1-cos(4x))/x^2) x0

Question image for Find the value of a such that f(x)= (1-cos(4x))/x^
Profile image of Muthu
8 Years agoGrade 12
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1 Answer

Profile image of Arun
8 Years ago
Dear student
as we know
lim (x = 0) 1 –cos x / x2 =  1/2
now
lim (x = 0) 16* {1 –cos 4x} / (4x)2  = 16 * (1/2) =  8
hence a = 8
Regards
Arun (askIITians forum expert)