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lim(xtooo)((x^2+2x-1)/(2x^2-3x-2))^((2x+...

`lim_(xtooo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1))` is equal to (a) `0` (b) `oo` (c) `1/2` (d) none of these

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. lim(x->1)(1-x^2)/(sin2pix) is equal to (a)1/(2pi) (b) -1/pi (...

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  2. Evaluate ("lim")(xto0)((sinx)/x)^(((sinx)/(x-sinx)))

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  3. lim(xtooo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a) 0 ...

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  4. Evaluate lim(xto0) ((1+x)^(1//x)-e+(1)/(2)ex)/(x^(2)).

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  5. If lim(x→0) ​ (x^asin^b x)/(sin(x^c)), where a , b , c in ...

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  6. Evaluate underset(xto0)lim(5sinx-7sin2x+3sin3x)/(x^(2)sinx).

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  7. ("lim")(x->oo){(x^3+1)/(x^2+1)-(a x+b)}=2,t h e n (a)a=1,b=1 (...

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  8. Evaluate underset(xtooo)lim(log(e)x)/(x)

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  9. The value of lim(x->1)(2-x)^(tan((pix)/2)) is (a)e^(-2/pi) (b) e^...

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  10. Evaluate the following limits using sandwich theorem: lim(x->oo)([x])...

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  11. lim(x->0) (sinx^n)/((sinx)^m),(mltn), is equal to (a) 1 (b) 0 (c) n...

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  12. If (x^(2)+x-2)/(x+3)le(f(x))/(x^(2))le(x^(2)+2x-1)/(x+3) holds for a c...

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  13. lim(x->oo)(2sqrt(x)+3root3x+4root4x+.......+nrootnx)/(sqrt((2x-3))+roo...

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  14. Let f:(1,2)vecR satisfies the inequality (cos(2x-4)-33)/2ltf(x)lt(x^2|...

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  15. lim(y->0)((x+y)sec(x+y)-xsecx)/y is equal to (a) secx(xtanx+1) (b) x...

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  16. Evaluate underset(ntooo)lim(1)/(1+n^(2))+(2)/(2+n^(2))+...+(n)/(n+n^(2...

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  17. If L=lim(x->2) ((10-x)^(1/3) -2)/(x-2), then the value of |1/(4L)| ...

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  18. Suppose that f is a function such that 2x^2lt=f(x)lt=x(x^2+1) for all ...

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  19. If L=lim(xto0) (e^(-x^(2)//2)-cosx)/(x^(3)sinx), then find the value o...

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  20. If [dot] denotes the greatest integer function, then find the value of...

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