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If lim(x->0)(x^n-sinx^n)/(x-sin^n x) is ...

If `lim_(x->0)(x^n-sinx^n)/(x-sin^n x)` is non-zero finite, then `n` must be equal to 4 (b) 1 (c) 2 (d) 3

A

1

B

2

C

3

D

None of these

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VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-LEVEL 2
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  2. The value of lim(x->1) y^3/(x^3-y^2-1) as (x, y)-> (1, 0) along the ...

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

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

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

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

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

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

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

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

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

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

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  15. tan^(-1)(cotx)

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

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

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  18. 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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  19. If f(x)=sum(n=0)^oo x^n/(n!)(loga)^n, then at x = 0, f(x) (a) has no l...

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  20. The function f(x)={(1-2x+3-4x^(3)+…oo,|x|lt1),(1,x=-1):}

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