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If f^(prime)(a)=1/4, t h e n(lim)(hvec0)...

If `f^(prime)(a)=1/4, t h e n(lim)_(hvec0)(f(a+2h^2)-f(a-2h^2))/(f(a+h^3-h^2)-f(a-h^3+h^2))=` `0` b. `1` c. `-2` d. none of these

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
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  3. If f^(prime)(a)=1/4, t h e n(lim)(hvec0)(f(a+2h^2)-f(a-2h^2))/(f(a+h^3...

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  6. The value of (lim)(xvec1)(x ^(1/13)-x^(1/7))/((x^(1/5) - x^(1/3)) is ...

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  7. Number of integral values of lambda for which (lim)(x to 1)sec^(-1)((l...

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  8. If f(x)={x/(s in x),x >0 2-x ,xlt=0 and g(x)={x+3,x<1x^2-2x-2,1lt=x<2x...

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  11. If underset(xrarr0)(lim)(f(x))/(x^(2))=aand underset(xrarr0)(lim)(f(1-...

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  12. The value of (lim)(xvecpi//4)(tan^3x-t a n x)/(cos(x+pi/4)) is 8 b. 4 ...

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  13. (lim)(xvecpi/2)((1-sin x)(8x^3-pi^3)cos x)/((pi-2x)^4) a.(pi^2)/6 b...

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  14. The value of lim(x->pi/4) (sqrt(1-sqrt(sin2x)))/(pi-4x) is

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  15. The value of (lim)(x->oo)(e^sqrt(x^(4+1))-e^(x^(2+1))) is (a) 0 b. e c...

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  16. If an and bn are positive integers and an+sqrt(2)bn=(2+sqrt(2))^n ,t h...

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  17. Iff(x)={x+1/2, x&lt;0 2x+3/4,x &gt;=0 , then [(lim)(x-&gt;0)f(x)]= (...

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  19. Let L1=(lim)(x^vec4)(x-6)^x and L2=(lim)(x^vec4)(x-6)^4dot Which of t...

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  20. 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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