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Evaluate the limit: lim(x->0)(sina x)/(s...

Evaluate the limit: `lim_(x->0)(sina x)/(sinb x)`

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate the limit: lim(x->0)(sina x)/(sinb x)

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  2. If underset(xto1)lim(asin(x-1)+bcos(x-1)+4)/(x^(2)-1)=-2, then |a+b| i...

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  3. Evaluate the limit lim(x->0)(sin3x)/x

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  4. The integer n for which lim(x rarr0)((cos x-1)(cosx-e^x))/x^n is a fin...

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  5. Evaluate the limit: ("lim")(nrarroo)((1^2-2^2+3^2-4^2+5^2+ nt e r m s)...

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  6. Let ("lim")(xvec1)(x^a-a x+a-1)/((x-1)^2)=f(a)dot Then the value of f(...

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  7. Evaluate the limit: lim(x->a)(sqrt(3x-a)-sqrt(x+a))/(x-a)

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  8. f(x)=(3x^2+a x+a+1)/(x^2+x-2) and lim(x->-2)f(x) exists. Then th...

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  9. Evaluate the limit: ("lim")(x->oo)[sqrt(a^2x^2+a x+1)-sqrt(a^2x^2+1)]

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  10. lim(x->0)(1-sqrt(cos2x)*root(3)(cos3x).....root(n)(cosnx))/x^2 has ...

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  11. Evaluate the limit: lim(x->1)(sum (k=1) ^100 x^k-100)/(x-1)

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  12. Let Sn=1+2+3++n and Pn=(S2)/(S2-1)*(S3)/(S3-1)*(S4)/(S4-1)* . . . *...

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  13. If a(1)=1 and a(n+1)=(4+3a(n))/(3+2a(n)),nge1"and if" lim(ntooo) a(n)=...

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  14. If L=lim(x->oo){x-x^2(log)e(1+1/x)}, then the value of 8L is

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  15. Evaluate the limit: ("lim")(nrarroo)cos(pisqrt(n^2+n))when n is an in...

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  16. Evaluate: lim(x->a)(sqrt(a+2x)-sqrt(3x))/(sqrt(3a+x)-2sqrt(x)),(a!=0)...

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  17. Evaluate the limit: lim(x->0)(sqrt(2)-sqrt(1+cosx))/(sin^2x)

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  18. Let f ''(x) be continuous at x=0 If lim(xto0) (2f(x)-3af(2x)+bf(8x))...

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  19. Evaluate the limit: ("lim")(h -> 0)[1/(h(8+h)^(1/3))-1/(2h)]

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  20. Evaluate: lim(x->0)(e-(1+x)^(1/x))/x

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