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lim(x->0) (sinx^n)/((sinx)^m),(mltn), is...

`lim_(x->0)` `(sinx^n)/((sinx)^m),(mltn),` is equal to (a) 1 (b) 0 (c) `n//m` (d) none of these

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. The value of lim(x->1)(2-x)^(tan((pix)/2)) is (a)e^(-2/pi) (b) e^...

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

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

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

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

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

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

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

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

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

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

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  13. If lim(x->oo) f(x) exists and is finite and nonzero and if lim(x->oo)...

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  14. If 3-((x^(2))/(12))lef(x)le3+((x^(3))/(9)) in the neighborhood of x=0,...

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  15. If f(x)={{:(x-1", "xge1),(2x^(2)-2", "xlt1):},g(x)={{:(x+1", "xg...

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  16. Evaluate underset(xto0)lim{(sinx-x+(x^(3))/(6))/(x^(5))}.

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  17. underset(xtooo)limf(x)," where "(2x-3)/(x)ltf(x)lt(2x^(2)+5x)/(x^(2))A...

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  18. Evaluate underset(xto0)lim(sinx+log(1-x))/(x^(2)).

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  19. If underset(xto0)lim[1+x+(f(x))/(x)]^(1//x)=e^(3), then the value of l...

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  20. Evaluate the limits using the expansion formula of functions lim(x->0)...

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