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If f''(0)=k,kne0, then the value of lim...

If `f''(0)=k,kne0`, then the value of `lim_(xto0)(2f(x)-3f(2x)+f(4x))/(x^2)` is

A

k

B

2k

C

3k

D

4k

Text Solution

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The correct Answer is:
C
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CHHAYA PUBLICATION-QUESTION PAPER 2017-UNIT-3
  1. If f(x)=log5log3 x, then f'(e ) is equal to

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  2. Let F(x)=e^x,G(x)=e^(-x) " and " H(x)=G(F(x)), where x is a real varia...

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  3. If f''(0)=k,kne0, then the value of lim(xto0)(2f(x)-3f(2x)+f(4x))/(x^...

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  4. If y=e^(msin^-1x)(-1lexle1), Prove that, (1-x^2)(d^2y)/(dx^2)-xdy/dx...

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  5. The chord of the curve y=x^2+2ax+b, joining the points where x=alpha "...

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  6. Let f(x)={{:((x^p)/((sinx)q')),(0):}" if " 0ltxle(pi)/(2),(p,qinR) if ...

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  7. lim(xto0)(sinx)^(2tanx)=

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  8. intcos(logx)dx=F(x)+c, where c is an arbitaray constant. Here F(x)=

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  9. Let I=int(10)^(19)(sinx)/(1+x^8)dx. Then,

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  10. Let I1=int0^n[x]dx" and I2=int0^n{x}dx, where [x] and {x} are integral...

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  11. Evalute : lim(ntooo)[(n)/(n^2+1^2)+(n)/(n^2+2^2)+........+(1)/(2n)].

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  12. The value of the integral int0^1e^(x^2)dx

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  13. int0^(100)e^(x-[x])dx=

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  14. Solution of (x+y)^2(dy)/(dx)=a^2 ('a' being a constant ) is

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  15. The integrating factor of the first order differential equation x^2(x^...

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  16. If f(x)=int(-1)^x |t|dt, then for any xge0,f(x) is equal to

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  17. Let for all xgt0,f(x)=lim(nto oo)n(x^((1)/(n))-1), then

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  18. Let I=int0^(100pi)sqrt(1-cos2x)dx, then

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  19. The area (sq. units) of the figure bounded by the parabolas x= -2y^2" ...

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  20. Tangents are drawn to the ellipse (x^2)/(9)+(y^2)/(5)=1 at the ends of...

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