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lim(x -> oo)(x(log(x)^3)/(1+x+x^2)) equa...

`lim_(x -> oo)(x(log(x)^3)/(1+x+x^2))` equals 0 (b) `-1` (c) 1 (d) none of these

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. f(x) is the integral of (2sinx-sin2x)/(x^3),x!=0. Find lim(x->0)f^...

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  2. Evaluate underset (h to 0) lim ((a+h)^(2) sin (a+h) -a^(2) sin a)/h .

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  3. lim(x -> oo)(x(log(x)^3)/(1+x+x^2)) equals 0 (b) -1 (c) 1 (d) no...

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  4. ("lim")(xvec 0)((2^m+x)^(1/m)-(2^n+x)^(1/n))/xi se q u a lto 1/(m2^m)...

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  5. ("lim")(xvec1)(1-x)tan(pix)/2=

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  6. If f(x)={(sinx, x != npi " and " n in I2), (2, " x=npi):} and g(x)={(x...

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

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

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

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

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

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

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

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

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

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

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

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

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