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

If `G(x)=-sqrt(25-x^2),t h e n lim_(x->1)(G(x)-G(1))/(x-1)i s` (a)`1/(24)` (b) `1/5` (c) `-sqrt(24)` (d) none of these

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
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  2. Evaluate ("lim")(x->(5pi)/4) [sinx+cosx], where [.] denotes the greate...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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