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("Lim")(x->0)(2/picos^(-1)x)^(1//x) equa...

`("Lim")_(x->0)(2/picos^(-1)x)^(1//x)` equals

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BANSAL-LIMITS AND DERIVATIVES-All Questions
  1. ("Lim")(n->oo)((1+tanpi/(2n))/(1+sinpi/(3n)))^n equal

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  2. ("Lim")(x->0^+)1/((1+"c o s e c"x)^(1/(ln(sinx)))) equals

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  3. ("Lim")(x->0)(2/picos^(-1)x)^(1//x) equals

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  4. Evaluate: intsqrt((1-sin2x)/(1+sin2x))dx

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  5. Find the differentiation of ((cot^2x-1)/(cot^2x+1)) w.r.t. \ x

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  6. Find the differentiation of sqrt(sec^2x+"c o s e c"^2x) w.r.t. \ x

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  7. Find the differentiation of (1+x^(1/4))(1+x^(1/2))(1-x^(1/4)) w.r.t. \...

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  8. Find the differentiation of (log)(sqrt(x))(1/x) w.r.t. \ x

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  9. Find the differentiation of |x-1|+|x-3| at the point x=2 w.r.t. \ x

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  10. Find the differentiation of cos(1-x^2)^2 w.r.t. \ x

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  11. Find the differentiation of sin^("n")xcosn x w.r.t. \ x

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  12. Find the differentiation of log(sqrt(x-a)+sqrt(x-b)) w.r.t. \ x

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  13. Find the differentiation of (xcot^3x)^(3//2) w.r.t. \ x

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  14. Find the differentiation of sqrt((1+tanx)/(1-tanx)) w.r.t. \ x

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  15. Find the differentiation of (x^2+cosx)^4 w.r.t. \ x

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  16. Find the differentiation of sqrt(xsinx) w.r.t. \ x

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  17. Find the differentiation of ((secx+tanx)/(secx-tanx)) w.r.t. \ x

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  18. Find the differentiation of (x^3tan^2x/2) w.r.t. \ x

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  19. Find the differentiation of e^(xsinx) w.r.t. \ x

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  20. Find the differentiation of log(secx+tanx) w.r.t. \ x

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