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Find the values of aa n db if f(x)={a...

Find the values of `aa n db` if `f(x)={a x^2+1,xlt=1 ,x^2+a x+b ,x >1"i s differentiable at"x=1`

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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
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  3. Find the values of aa n db if f(x)={a x^2+1,xlt=1 ,x^2+a x+b ,x &gt...

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  5. The value of (lim)(x->0)(sqrt(2)-sqrt(1+cos x))/(sin^2x) is 1/(2sqrt(...

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  6. If a1=1\ a n d\ a(n+1)=(4+3an)/(3+2an),\ ngeq1\ a n d\ if\ (lim)(n->oo...

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  7. Evaluate the limit: ("lim")(nvecoo)cos(pisqrt(n^2+n))w h e nni sa nin ...

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  8. lim(n->oo)prod(r=3)^n(r^3-8)/(r^3+8)

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

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  10. Let f(x)=[((x^2+3x-1)t a n x)/(x^2+2x)\ if\ x!=0,kif\ x=0 f(x) is cont...

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  11. f(x)=[(sin x+sin5x)/(cos x+cos5x)\ \ if\ x!=-pi/4,k\ if\ x=-pi/4 is co...

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  12. If f(x)=[x+1,\ xlt=1 ,3 -a x^2,\ x >1 is continuous at x=1 then find t...

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  13. What kind of discontinuity the function (cosx)/x h a s\ \ a t\ x=0.

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  14. If f(x)=[(8^x-4^x-2^x+1^2)/(x^2\ ),\ x >0e^xsinx+4x+k ln4,\ xlt=0 is c...

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  15. Let f(x)={(x-1)sin(1/(x-1)), if"x"!="1"0, if"x"="1"} . Then which one ...

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  16. (lim)(x->1)(1-x)tan((pix)/2)\ a. pi/2 b. pi c. 2/pi d. 0

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  17. The value of (lim)(x->pi/2)(int t\ dt)/(sin(2x-pi))integral from pi/...

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  18. The (lim)(x->0)(cos x)^(cotx) is -1 b. 1 c. 0 d. none of these

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  19. The value of a for which the function f(x)=f(x)={((4^x-1)hat3)/(sin(x...

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  20. The function f(x)=[x^2] (where [y] is the greatest integer less tha...

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