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The value of lim(xrarr0) (a^x-b^x)/(x) ,...

The value of `lim_(xrarr0) (a^x-b^x)/(x)` ,is

A

`log(a//b)`

B

`log(b//a)`

C

`log(ab)`

D

`-log(ab)`

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-LIMITS-Exercise
  1. Let f(x) = 1 /(sqrt( 18 - x^2) The value of Lt(x -> 3) (f(x)-f(3)) / ...

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  2. If f(x)=2/(x-3),g(x)=(x-3)/(x+4),a n dh(x)=-(2(2x+1))/(x^2+x-12),t h e...

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  3. The value of lim(xrarr0) (a^x-b^x)/(x) ,is

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  4. The value of lim(xrarr0) (e^x-(x+x))/(x^2),is

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  5. lim(xrarr1) (1+cos pix)cot^2pi x is equal to

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  6. The value of lim(xto0) (int(0)^(x)tdt)/(xtan (x+pi)) is equal to

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  7. The value of lim(xrarroo) ((x^2+6)/(x^2-6))^(x) is given by

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  8. If [x] denotes the greatest integer less than or equal to x,then the v...

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  9. Let alpha and beta be the distinct roots of ax^(2) + bx + c = 0. Then ...

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  10. If f(x)={(xsin,((1)/(x)),xne0),(0,,x=0):} Then, lim(xrarr0) f(x)

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  11. lim(xto-pi)(|x+pi|)/(sin x) is

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  12. If lim(x->oo) (sqrt(x^2-x+1)-ax-b)=0 then the value of a and b are giv...

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  13. lim(xto1) (sum(r=1)^(n)x^(r)-n)/(x-1) is equal to

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  14. lim(x->pi/4)(2sqrt(2)-(cosx+sinx)^3)/(1-sin2x)=

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  15. The value of lim(n->oo)(1.sum(r=1)^n(r)+2.sum(r=1)^(n-1)(r)+3sum(r=1)^...

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  16. The value of lim(xtooo) {(1)/(3)+(2)/(21)+(3)/(91)+...+(n)/(n^4+n^2+1...

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  17. The value lim(xrarr pi//2)(sinx)^(tanx), is

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  18. The value of lim(xrarroo) (5^(x+1)-7^(x+1))/(5^x-7^x),is

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  19. The value of lim(xrarr3)(3^x-x^3)/(x^x-3^3), is

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  20. lim(n->oo)[log(n-1)(n)logn(n+1)*log(n+1)(n+2).....log(n^k-1) (n^k)] i...

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