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(lim)(xrarr0)(sin(picos^2x)/(x^2)) is eq...

`(lim)_(xrarr0)(sin(picos^2x)/(x^2))` is equal to (a) `-pi` (b) `pi` (c) `pi/2` (d) 1

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Let f(x)={1+(2x)/a ,0lt=x<1 and ax ,1lt=x<2 If lim(x->1)f(x) e...

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  2. Evaluate ("lim")(x->0) (sinx-2)/(cosx-1)

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  3. (lim)(xrarr0)(sin(picos^2x)/(x^2)) is equal to (a) -pi (b) pi (c) ...

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  4. Evaluate lim(x->0^-) (x^2-3x+2)/(x^3-2x^2)

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  5. For x in R, lim(xrarroo)((x-3)/(x+2))^x is equal to (a) e (b) e^(-1) ...

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  6. Evaluate lim(n->oo) [sum(r=1)^n1/2^r] , where [.] denotes the gre...

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  7. ("lim")(xvecoo){1/(1-n^2)+2/(1-n^2)+......n/(1-n^2)}i se q u a lto 0 ...

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  8. Evaluate ("lim")(x->(5pi)/4) [sinx+cosx], where [.] denotes the greate...

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  9. If G(x)=-sqrt(25-x^2),t h e n lim(x->1)(G(x)-G(1))/(x-1)i s (a)1/(2...

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  10. Evaluate the left-and right-hand limits of the function defined by f(...

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  11. If f(x)=sqrt((x-sinx)/(x+cos^2x)), then lim (x->oo)f(x) is

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  12. Evaluate the left-and right-hand limits of the function f(x)={(|x-4|)/...

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  13. If ("lim")(x->a)[f(x)g(x)] exists, then both ("lim")(x->a)f(x)a n d("l...

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  14. If alpha1, ,alpha2, ,alphan are the roots of equation x^n+n a x-b=0, ...

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

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

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

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

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

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

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