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Evaluate underset(xrarr0^(+))(lim)(x/a)[...

Evaluate `underset(xrarr0^(+))(lim)(x/a)[b/x]` where [.] represents greatest integer function.

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CENGAGE PUBLICATION-LIMITS-Multiple Correct Answers Type
  1. If f(x)={x^nsin(1/(x^2)),x!=0 0,x=0,(n in I),t h e n ("lim")(xvec0)...

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  2. If L=lim(xto0) (1)/(x^(3))((1)/(sqrt(1+x))-(1+ax)/(1+bx)) exists,then ...

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  3. Which of the following true ({.} denotes the fractional part of the ...

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  4. Which of the following is/are correct?

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  5. If lim(xto1) (2-x+a[x-1]+b[1+x]) exists, then a and b can take the val...

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  6. L=lim(x to a)(|2sinx-1|)/(2sinx-1)dotT h e n (a) limit does not exis...

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  7. Let f(x)=lim(ntooo) (x)/(x^(2n)+1). Then f has

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  8. ("lim")(xvecoo)(-3+(-1)^n)/(4n-(-1)^n) -3/4 (b) 0 if n is even -3/4 ...

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  9. Given a real-valued function f such that f(x)={(tan^2{x})/((x^2-[x]^2)...

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  10. If f(x)=(3x^2+a x+a+1)/(x^2+x-2), then which of the following can be c...

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  11. The value of lim(ntooo) (1)/(1+nsin^(2)nx)" can be " (n inN)

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  12. Let f(x) = (x^2-9x+20)/(x-[x]) where [x] denotes greatest integer les...

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  13. Given lim(x to 0)(f(x))/(x^(2))=2, where [.] denotes the greatest inte...

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  14. If f(a)=lim(xto2)(sin^(x)a+cos^(x)a)^((1)/((x-2)))" for "ain[0,(pi)/(2...

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  15. Let L=lim(x rarr0)(a-sqrt(a^2-x^2)-x^2/4)/x^4, a gt 0. If L is finite,...

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  16. Let f(x) = ((1 - x(1+ |1-x | )) /(|1-x|)) cos(1/(1-x)) for x!=1 then p...

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  17. If A=lim(x to 0) (sin^(-1)(sinx))/(cos^(-1)(cosx))and B=lim(x to 0)([|...

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  18. Evaluate underset(xrarr0)(lim)(e^x-1-x)/x^2

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  19. Evaluate underset(xrarr0^(+))(lim)(x/a)[b/x] where [.] represents grea...

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  20. Evaluate underset(xrarr0)(lim)((x+3)/(1+x))^((x^2+2x-3)/(x-1))

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