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If lim(xrarr0)(x^(-3)sin3x+a x^(-2)+b) e...

If `lim_(xrarr0)(x^(-3)sin3x+a x^(-2)+b)` exists and is equal to 0, then (a) `a=-3` and `b=9/2` (b) `a=3` and `b=9/2` (c) `a=-3` and `b=-9/2` (d) `a=3` and `b=-9/2`

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. ("lim")(xvec0)[min(y^2-4y+11)(sinx)/x](w h e r e[dot]d e not e st h e ...

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  2. underset(xto pi//2)lim(sin(xcosx))/(cos(xsinx)) is equal to

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  3. If lim(xrarr0)(x^(-3)sin3x+a x^(-2)+b) exists and is equal to 0, then ...

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  4. If lim(x->0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n must b...

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  5. ("lim")(xvec1)((1-x)(1-x^2)...(1-x^(2n)))/({(1-x)(1-x^2)...(1-x^n)}^2)...

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  6. The value of lim(x->0)([(100 x)/(sinx)]+[(99sinx)/x]) (where [.] repr...

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  7. The value of ("lim")(xto1/(sqrt(2))) ((x-"cos" (sin^(-1)x))/ (1-tan(si...

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  8. The value of lim(x->oo)((2^(x^n))^(1/e^x)-(3^(x^n))^(1/e^x))/(x^n) (w...

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  9. Let lim(x->0)([x]^2)/(x^2)=l and lim(x->0)([x^2])/(x^2)=m , whe...

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  10. ("lim")(xvec1)(xsin(x-[x]))/(x-1),w h e r e[dot] denotes the greatest ...

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  11. ("lim")(x->0)[(sin(sgn(x)))/((sgn(x)))], where[dot] denotes the greate...

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  12. lim(x->0) (2+2x+sin2x)/((2x+sin2x)e^sinx) is

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  13. If f(x)=(cosx)/((1-sinx)^(1/3)) then (a) ("lim")(xrarrpi/2)f(x)=-oo (b...

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  14. lim(x->-oo)(x^2*tan(1/x))/(sqrt(8x^2+7x+1)) is

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  15. T1 is an isosceles triangle in circle C. Let T2 be another ísoscele...

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  16. If f(x)=0 is a quadratic equation such that f(-pi)=f(pi)=0 and f(pi/2)...

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  17. ("lim")(xvecoo)[(e/(1-e))(1/e-x/(1+x))]^xi s e^((1-e)) (b) e^(((1-e)...

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  18. ("lim")(x -> 0)((1+tanx)/(1+sinx))^(cos e cx) is equal to (a)e (b...

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  19. ("lim")(xvecoo)(sin^4x-sin^2x+1)/(cos^4x-cos^2x+1) is equal to (a) ...

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  20. Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

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