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Evaluate: lim(x->0)(x2^x-x)/(1-cosx)...

Evaluate: `lim_(x->0)(x2^x-x)/(1-cosx)`

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate: lim(x->2)(sin(e^(x-2)-1))/(log(x-1))

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  2. lim(n->oo)(n(2n+1)^2)/((n+2)(n^2+3n-1)) is equal to (a)0 (b) ...

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  3. Evaluate: lim(x->0)(x2^x-x)/(1-cosx)

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  4. lim(x->0)(x(e^x-1))/(1-cosx) is equal to

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  5. Evaluate: lim(x->oo)[x(a^(1/x)-1)], a >1

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  6. If f(x)=2/(x-3),g(x)=(x-3)/(x+4) , and h(x)=-(2(2x+1))/(x^2+x-12) then...

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  7. Evaluate: lim(xto0) ((1-3^(x)-4^(x)+12^(x)))/(sqrt((2cosx+7))-3)

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  8. underset(xtooo)lim((x^(3))/(3x^(2)-4)-(x^(2))/(3x+2))" is equal to "

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  9. Evaluate: lim(x->0)(a^(tanx)-a^(sinx))/(tanx-sinx),a >0

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  10. lim(x->oo)((2x+1)^(40)(4x-1)^5)/((2x+3)^(45)) is equal to (a)16 ...

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  11. Evaluate: lim(x->a)("log"(x-a))/(log(e^x-e^a))

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  12. The value of underset(xto2)lim(sqrt(1+sqrt(2+x))-sqrt(3))/(x-2)" is "

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  13. Evaluate: lim(x->0)(e^x+e^(-x)-2)/(x^2)

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  14. lim(n->oo)n^2(x^(1/n)-x^(1/((n+1)))),x >0 , is equal to (a)0 (b) e^x ...

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  15. Evaluate: ("lim")(xtooo)x^(1/x)

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  16. The value of lim(x->pi)(1+cos^3x)/(sin^2x) is (a)1/3 (b) 2/3 ...

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  17. Evaluate: underset(x rarr 0)("lim") ((729)^x-(243)^x-(81)^x+9^x+3^x-1...

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  18. If f(x)=(3x^2+a x+a+1)/(x^2+x-2), then which of the following can be c...

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  19. Evaluate underset(ntooo)lim(-1)^(n-1)sin(pisqrt(n^(2)+0.5n+1)),"where ...

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  20. ("lim")(ntooo)1/(1+nsin^2n x) is equal to (a)-1 (b) 0 (c) 1 (d) ...

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