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underset(xrarr(-1)/(3))(lim)(1)/(x)[(-1)...

`underset(xrarr(-1)/(3))(lim)(1)/(x)[(-1)/(x)]=` (where [.] denotes the greatest integer function)

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. If f:R->R is defined by f(x)=[x−3]+|x−4| for x in R, then lim(x->3) f(...

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  2. If [dot] denotes the greatest integer function, then (lim)(xvec0)x/a...

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  3. underset(xrarr(-1)/(3))(lim)(1)/(x)[(-1)/(x)]= (where [.] denotes the ...

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  4. (lim)(xvecoo)x^2sin((log)esqrt(cospi/x)) a. 0 b. (pi^2)/2 c. (pi^2...

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  5. underset(xrarr0)(lim)(1)/(x^(2))|(1-cos3x,log(e)(1+4x)),(sin^(-1)(x^(x...

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  6. If graph of the function y=f(x) is continuous and passes through point...

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  7. Set of all values of x such that underset(nrarroo)(lim)(1)/(1+((4tan^(...

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  8. limxvecoo[x-loge((e^x+e^(-x))/2)]= a)(log)e4 b. 0 c. oo d. (log)e2

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  9. The value of ("lim")(xvec0)(1+sinx-cosx+"log"(1-x))/(x^3)i s 1/2 (b)...

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  10. If underset(xrarroo)(lim)((x+c)/(x-c))^(x)=4 then the value of e^(c) i...

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  11. If f(x)=underset(nrarroo)(lim)((x^(2)+ax+1)+x^(2n)(2x^(2)+x+b))/(1+x^(...

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  12. If lim(x->0)[1+x+(f(x))/x]^(1/x)=e^3, then find the value of 1n(lim(x-...

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  13. Let f(x) be the fourth degree polynomial such that f^(prime)(0)-6,f(0)...

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  14. Let f(x) be the fourth degree polynomial such that f^(prime)(0)-6,f(0)...

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  15. (lim)(x->0)((sqrt(1+xsin x)-sqrt(cos2x))/(tan^2(x//2))) is equal to 1/...

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  16. The value of underset(xrarroo)(lim)x^(2)(1-cos.(1)/(x)) is

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  17. lim(x->0) (Cosx -1)/x is equal to

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  18. lim x→(2^+) { x } sin( x−2 ) /( x−2)^2 ...

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  19. The value of (lim)x->0(sqrt(1-cos"x"^2))/(1-cosx) is a.1/2 b. 2 c. s...

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  20. If f(x)=underset(nrarroo)(lim)((x^(2)+ax+1)+x^(2n)(2x^(2)+x+b))/(1+x^(...

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