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raulrag009 (1205)

Blazing goIITian

Olaaa!! Perrrfect answer. 203  [298 rates]

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Let T=tanx-sinx + T
 
T2-T+sinx-tanx=0
T=[1+-1+4tanx-4sinx]/2
 
Let
 
V=x3+V
V2-V-x3=0
 
V= 1+-1+4x3/2
 
lim    -1 + T/-1+V
x-0
 
lim     [-1 +1+4tanx-4sinx]/[-1+1+4x3]
x-0
 
differentiate
 
lim  [(sec2x-cosx)1+4x3 ]/12x2root(1+4tanx-4sinx)
x-0
 
again differentiate and solve
i think the answer is 1/8
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