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f(x)=(3x^2+a x+a+1)/(x^2+x-2) and lim(x-...

`f(x)=(3x^2+a x+a+1)/(x^2+x-2)` and `lim_(x->-2)f(x)` exists. Then the value of `(a-4)` is__________

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Let ("lim")(xvec1)(x^a-a x+a-1)/((x-1)^2)=f(a)dot Then the value of f(...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Evaluate: lim(x->1)sec(pi/(2x))logxdot

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  18. Evaluate : [underset(x to 0)lim (sin x)/(x)], where [*] represents the...

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  19. Let f(x)=lim(m->oo){lim(n->oo)cos^(2m)(n !pix)}, where x in Rdot Then...

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  20. Evaluate: lim(x->pi/2)(1+cos2x)/((pi-2x)^2)

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