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Let ("lim")(xvec1)(x^a-a x+a-1)/((x-1)^2...

Let `("lim")_(xvec1)(x^a-a x+a-1)/((x-1)^2)=f(a)dot` Then the value of `f(4)` is _________

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. The integer n for which lim(x->0)((cosx-1)(cosx-e^x))/(x^n) is finit...

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

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

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  4. Evaluate the limit: ("lim")(x rarr a)(sqrt(3x-a)-sqrt(x+a))/(x-a)

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  5. 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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  6. Evaluate the limit: ("lim")(xvecoo)[sqrt(a^2x^2+a x+1)-sqrt(a^2x^2+1)]

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

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  8. Evaluate the limit: ("lim")(x vec 1)(sum (k=1) ^100 x^k-100)/(...

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

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  10. If a1=1a n da(n+1)=(4+3an)/(3+2an),ngeq1,a n dif("lim")(nvecoo)an=a , ...

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

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

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

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  14. Evaluate the limit: ("lim")(xvec0)(sqrt(2)-sqrt(1+cosx))/(sin^2x)

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  15. Let f^(x) be continuous at x=0 If ("lim")(xvec0)(2f(x)-3a(f(2x)+bf(8x...

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  16. Evaluate the limit: ("lim")(hvec0)[1/(h(8+h)^(1/3))-1/(2h)]

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

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  18. Using lim(theta -> 0) (sintheta/theta)=1 prove that the area of circ...

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  19. Evaluate: ("lim")(xvec1)sec(pi/(2^x))logxdot

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  20. Evaluate: ("lim")(xvec0)(sinx)/x,w h e r e[dot] represents the greate...

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