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Evaluate: ("lim")(xvec0)(sin^(-1)x-tan^(...

Evaluate: `("lim")_(xvec0)(sin^(-1)x-tan^(-1)x)/(x^3)`

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. If alpha1, ,alpha2, ,alphan are the roots of equation x^n+n a x-b=0, ...

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  2. lim(x->0)((xtan2x-2xtanx)/(1-cos2x)^2) is equal to

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  3. Evaluate: ("lim")(xvec0)(sin^(-1)x-tan^(-1)x)/(x^3)

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  4. lim(x->1)sqrt(1-cos2(x-1))/(x-1) a. exists and its equals sqrt(2) b....

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  5. lim(x->0)sin^2(pi/(2-p x))^(sec^2((pi/(2-p x)))

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  6. The value of lim(x->0)(sqrt(1/2(1-cos2x)))/x i s (a)1 (b) -1 (c...

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  7. Evaluate: ("lim")(x->7/2)(2x^2-9x+8)^(cot(2x-7))

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  8. If f(x)={{:((sin[x])/([x])","" ""for "[x]ne0),(0","" ""for "[x]=0):...

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  9. Let f(a)=g(a)=k and their n t h derivatives exist and are not equal fo...

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  10. If f(x)={(x^nsin(1/(x^2)),x!=0), (0,x=0):}, (n in I), then (a) lim(...

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  11. Let f(x) be a twice-differentiable function and f"(0)=2. The evaluate:...

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  12. The value of lim(x to1)(p/(1-x^p)-q/(1-x^q)),p ,q , in N , equal (a)(...

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  13. Evaluate : lim(x->0)(log)(tan^2x)(tan^2 2x)dot

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  14. ("lim")(x vec 0)(sin(x^2))/(1n(cos(2x^2-x))) is equal to (a) 2 (b) ...

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  15. If the graph of the function y=f(x) has a unique tangent at the point ...

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  16. lim(x->-1)1/(sqrt(|x|-{-x}))(w h e r e{x} denotes the fractional...

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  17. Evaluate: lim(x->0)x^m(logx)^n ,m , n in Ndot

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  18. Let f(x)=("lim")(nvecoo)1/((3/pitan^(-1)2x)^(2n)+5)dot Then the set of...

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  19. Evaluate (lim(x->oo))(x(log)e{(sin(a+1/x))/(sina)}), 0 lt a lt pi/2

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  20. lim(x->0) {(1+x)^(2/x)} (where {.} denotes the fractional part of x (a...

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