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Evaluate: lim(x->oo)((sqrt(x^2+1)- ^3sqr...

Evaluate: `lim_(x->oo)((sqrt(x^2+1)- ^3sqrt(x^2+1)) / (4sqrt(x^4+1) -^5sqrt(x^4+1 )))`

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate: lim(x->a)((x+2)^(5/3)-(a+2)^(5/3))/(x-a)

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  2. lim(x->oo)(2sqrt(x)+3root3x+4root4x+.......+nrootnx)/(sqrt((2x-3))+roo...

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  3. Evaluate: lim(x->oo)((sqrt(x^2+1)- ^3sqrt(x^2+1)) / (4sqrt(x^4+1) -^5s...

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  4. The value of lim(x->1)(1-sqrt(x))/((cos^(-1)x)^2) is 4 (b) 1/2 ...

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  5. Evaluate : ("lim")(xvecoo)sqrt(x)(sqrt(x+c)-sqrt(x))

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  6. lim(xrarroo)((x+1)^(10)+(x+2)^(10)+...+(x+100)^(10))/(x^(10)+10^(10)) ...

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  7. Evaluate: ("lim")(xvec0)(e^x^2-cosx)/(x^2)

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  8. lim(x->oo)[sqrt(x+sqrt(x+sqrt(x)))-sqrt(x)] is equal to (a)0 (b) 1/...

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  9. Evaluate: lim(x->2)(sin(e^(x-2)-1))/(log(x-1))

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

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  11. Evaluate: ("lim")(xvec0)(x2^x-x)/(1-cosx)

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

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

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  14. 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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  15. Evaluate: ("lim")(xvec0)((1-3^x-4^x+12^x))/(sqrt((2cosx+7))-3)

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  16. lim(x->oo)((x^3)/(3x^2-4)-(x^2)/(3x+2)) is equal to (a) does not exis...

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  17. Evaluate: ("lim")(xvec0)(a^(tanx)-a^(sinx))/(tanx-sinx),a >0

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

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  19. Evaluate: ("lim")(xveca)("log"(x-a))/(log(e^x-e^a))

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  20. The value of ("lim")(xvec2)(sqrt(1+sqrt(2+x))-sqrt(3))/(x-2)i s (a) 1...

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