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`underset(xto0)lim(log(1+x+x^(2))+log(1-x+x^(2)))/(secx-cosx)=`

A

1

B

-1

C

0

D

`oo`

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The correct Answer is:
A
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VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-LEVEL 2
  1. if |x| <1 then (L t)(n->oo)(1+x)(1+x^2)(1+x^4)........(1+x^(2n))=

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  2. Let a=min{x^(2)+2x+3,x epsilonR} and b=lim(x theta to 0)(1-cos theta)/...

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  3. underset(xto0)lim(log(1+x+x^(2))+log(1-x+x^(2)))/(secx-cosx)=

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  4. The value of lim(x->1) y^3/(x^3-y^2-1) as (x, y)-> (1, 0) along the ...

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  5. If lim(x->0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n must b...

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  6. If f(x)={((tan^-1(x+[x]))/([x]-2x)[x]ne0,,),(0[x]=0,,):} where [x] den...

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  7. The value of ("lim")(nvec0)[1/n+(e^(1/n))/n+(e^(2/n))/n++(e^((n-1)/n))...

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  8. lim(x->oo)((1^(1/x) +2^(1/x) +3^(1/x) +...+n^(1/x))/n)^(nx) is equal t...

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  9. lim(n->oo) (1.2+2.3+3.4+....+n(n+1))/n^3

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  10. lim(xto0)(x(z^(2)-(z-x)^(2))^(1//3))/([(8 x z -4x^(2))^(1//3)+(8x z)^(...

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  11. Let Pn=((1+x)(1-x^2)(1+x^3)(1-x^4))/({(1+x)(1-x^2)(1+x^3)(1-x^4)(1-x^...

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  12. lim(x rarr -oo)(1-2+3-4+5-6...-2x)/(sqrt(x^2+1)+sqrt(4x^2-1))

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  13. lim(xto0)(sinx^(4)-x^(4)cosx^(4))/(x^(4)(e^(2x^(4))-1-2x^(4))) is

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  14. The value of lim(n to oo)(1.n+2.(n-1)+3.(n-2)+…..+n.1)/(1^(2)+2^(2)+……...

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  15. If f(x) = underset(r = 1)overset(n)(sum)a(r)|x|^(r), where a(i) s are ...

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  16. Let f(x)={((a|x^(2)-x-2|)/(2+x-x^(2)), , xlt2),(b, , x=2),((x-[x])/(x-...

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  17. tan^(-1)(cotx)

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  18. Draw the graph of the function: |f(x)|=tanx

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  19. Let f (x) =|2x-9|+|2x+9|. Which of the following are true ?

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  20. L e tf(x)={(x^4-5x^2+4)/(|(x-1)(x-2)6),x!=1,2 12,x=2x=1 then f(x) is ...

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