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Let f(x) be polynomial of degree 4 with ...

Let `f(x)` be polynomial of degree 4 with roots 1,2,3,4 and leading coefficient 1 and `g(x)` be the polynomial of degree 4 with roots `1,1/2,1/3` and `1/4` with leading coefficient 1. Then `lim_(xto1)(f(x))/(g(x))` equals

A

(a) `1/24`

B

(b) `-24`

C

(c) `1/12`

D

(d) `-1/12`

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The correct Answer is:
B
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ARIHANT MATHS-LIMITS-Exercise (Single Option Correct Type Questions)
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  5. If lim(xto oo)(n.3^(n))/(n.(x-1)^(n)+n.3^(n+1)-3^(n))=1/3, the number ...

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  6. Let f(x)=underset(ntooo)lim(1)/(((3)/(pi)tan^(-1)2x)^(2n)+5). Then the...

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  9. underset(xto(pi)/(2))(lim)([(x)/(2)])/(log(e)(sinx))([.] denotes great...

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  11. If f(x+ y) = f(x) + f(y) for x, y in R and f(1) = 1, then find the val...

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  12. Evaluate underset(ntooo)limn^(-n^(2))[(n+2^(0))(n+2^(-1))(n+2^(-2))......

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  13. If f(x)={("sin"[x])/([x]),for[x]!=0, 0,for[x]=0,where [x] denotes the...

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  14. Evaluate: lim(xto2)(x^3-6x^2+11 x-6)/(x^2-6x+8)

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  15. Let r^(th) term t (r) of a series if given by t (c ) = (r )/(1+r^(2) +...

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  16. The value of lim(ntooo)sum(r=1)^(n)cot^(-1)((r^(3)-r+1/r)/2) is

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  17. Let xtan alpha + ysin alpha= alpha and xalpha cosec alpha + ycosalpha...

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  18. The polynomial of least degree such that lim(xto0)(1+(x^(2)+f(x))/(x^(...

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  19. If n is a non zero integer and [*] denotes the greatest integer functi...

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  20. The value of lim(xtoa)[sqrt(2-x)], where a in[0,1/2] and [.] denotes t...

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