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If f(a)=2,f^(prime)(a)=1,g(a)=-1,g^(prim...

If `f(a)=2,f^(prime)(a)=1,g(a)=-1,g^(prime)(a)=2,` then the value of `("lim")_(xveca)(g(x)f(a)-g(a)f(x))/(x-a)` is `-5` (b) `1/5` (c) 5 (d) none of these

A

`-5`

B

`1//5`

C

5

D

`-1//5`

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-LIMITS-Chapter Test
  1. underset(xtoa)lim(log(x-a))/(log(e^(x)-e^(a)))

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  2. Let < an > be a sequence such that lim(x->oo)an=0. Then lim(n->oo)(a1...

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  3. If f(a)=2,f^(prime)(a)=1,g(a)=-1,g^(prime)(a)=2, then the value of ("l...

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  4. If f(9)=9,f^(prime)(9)=4,t h e n("lim")(nvecoo)(sqrt(f(x)-3))/(sqrt(x-...

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  5. A(i)=(x-a(i))/(|x-a(i)|),i=1,2,...,n," and "a(1)lta(2)lta(3)lt...lta(n...

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  6. lim(x -> oo) x^n / e^x = 0, (n is an integer) for

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  7. lim(xrarr0) (x)/(tan^-1x) is equal to

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  8. If f(x) =x , x<0 and f(x)=1 , x = 0, and f(x)=x^2,x>0 then lim(x->0) ...

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  9. Evaluate the following limits : Lim(x to oo) sqrt(((x+sin x)/(x- cos...

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  10. Evaluate: ("lim")(xvecoo)(1+1/(a+b x))^(c+dx),w h e r ea , b , c ,a n ...

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  11. If f'(2)=2, f''(2) =1, then lim(xrarr2)(2x^2-4f'(x))/(x-2), is

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  12. lim(xrarr0) (e^(tanx)-e^x)/(tanx-x)=

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  13. The value of lim(xrarr2^-) {x+(x-[x])^2}, is

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  14. lim(xto0) ((e^x+e^-x-2)/(x^2))^(1//x^2) is equal to

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  15. The value of lim(x->oo)(pi/2-tan^(- 1)x)^(1/x^2), is

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  16. The value of lim(x->a) (sinx/sina)^(1/(x-a))=

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  17. Evaluate the following limit: (lim)(x->oo)((x^2+2x+3)/(2x^2+x+5))^((3x...

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  18. Evaluate: ("lim")(xvecoo)((a1^( 1/x)+a2^ (1/x)+ --+a n^(1/x))/n)^(n x)

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  19. The value of lim(xrarr0) ((sinx)/(x))^((sinx)/(x-sinx)), is

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  20. lim(x->1)[(x^3+2x^2+x+1)/(x^2+2x+3)]^((1-cos(x-1))/(x-1)^2)

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