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If cosx/2dotcosx/(2^2)dotcosx/(2^3)oo=(s...

If `cosx/2dotcosx/(2^2)dotcosx/(2^3)oo=(sinx)/x ,` then find the value of `1/(2^2)sec^2x/2+1/(2^4)sec^2x/(2^2)+1/(2^6)sec^2x/(2^3)+oo`

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Let f(x)a n dg(x) be two function having finite nonzero third-order de...

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  2. Differentiate log sinx w.r.t. sqrt(cosx).

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  3. If cosx/2dotcosx/(2^2)dotcosx/(2^3)oo=(sinx)/x , then find the value o...

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  4. Differentiate tan^(-1)((sqrt(1+x^2)-1)/x)w.r.t tan^(-1)x ,w h e r ex!=...

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  5. Find the derivative of f(tan x) w.r.t. g (sec x) at x=(pi)/(4), where ...

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  7. Find the derivative of tan^(-1)(2x)/(1-x^2) w.r.t sin^(-1)(2x)/(1+x^2)

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  8. If |a1sinx+a2sin2x++ansinn x|lt=|sinx| for x in R , then prove that |...

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  9. Find the derivative of sec^(-1)(1/(2x^2-1)) w.r.t sqrt(1-x^2) at x=1/...

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  10. If y=(1/2)^(n-1)cos(ncos^(-1)x), then prove that y satisfies the diffe...

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  11. If y=f(x^3),z=g(x^5),f^(prime)(x)=tanx ,a n dg^(prime)(x)=secx , then ...

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  18. If 1 is the twice repeated root of the equation a x^3+b x^2+b x+d=0,t ...

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  19. If log(x^2+y^2)=2tan^(-1)(y/x), show that (dy)/(dx)=(x+y)/(x-y)

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