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Evaluate: ("lim")(xvec0)(a^(tanx)-a^(sin...

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

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate: ("lim")(xvec0)((1-3^x-4^x+12^x))/(sqrt((2cosx+7))-3)

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

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

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

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

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

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

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

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  9. Evaluate: ("lim")(x-oo)x^(1/x)

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  10. The value of ("lim")(x->pi)(1+cos^3x)/(sin^2x)i s 1/3 (b) 2/3 (c) -...

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

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  12. 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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  13. Evaluate: lim(n->oo)(-1)^(n-1)sin(pisqrt(n^2+0. 5 n+1)),where n in N

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  14. ("lim")(xvecoo)1/(1+nsin^2n x) i s equal to (a)-1 (b) 0 (c) 1 (d) ...

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  15. Let the sequence {bn} real numbers satisfies the recurrence relation b...

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  16. Which of the following true ({.} denotes the fractional part of the ...

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  17. Evaluate: ("lim")(n->oo)(4^n+5^n)^(1/n)

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  18. If ("lim")(x->1)(2-x+a[x-1]+b[1+x]) exists, then a and b can take the ...

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  19. Evaluate: ("lim")(n→oo)(n^p sin^2(n !))/(n+1)

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  20. ("lim")(n→oo)(a n-(1+n^2)/(1+n))=b , where a is a finite number, then ...

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