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Grade 12Differential Calculus

what is the value of

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Profile image of Shibashis Mallik
11 Years agoGrade 12
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1 Answer

Profile image of Harsh Patodia
11 Years ago
This can be solved using expansion of sin-1x and tan-1x which follows

sin^(-1)x=x+1/6x^3+ 3/(40)x^5+5/(112)x^7+(35)/(1152)x^9+...

tan^(-1)x=x - 1/3x^3 + 1/5x^5 – 1/7x^7+...
When you will substitue and put limit you can easily get the answer.