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The value of lim(n->oo)[(2n)/(2n^2-1)cos...

The value of `lim_(n->oo)[(2n)/(2n^2-1)cos((n+1)/(2n-1))-n/(1-2n)dot(n(-1)^n)/(n^2+1)]i s` (a) 1 (b) `-1` (c) 0 (d) none of these

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. lim(x->0)(log(1+x+x^2)+"log"(1-x+x^2))/(secx-cosx)=

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  2. Evaluate: lim(n->oo)ncos(pi/(4n))sin(pi/(4n))

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  3. The value of lim(n->oo)[(2n)/(2n^2-1)cos((n+1)/(2n-1))-n/(1-2n)dot(n(-...

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  4. Evaluate: ("lim")(h->0)(2[sqrt(3)sin(pi/6+h)-cos(pi/6+h)])/(sqrt(3)h(s...

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  5. Evaluate: lim(x->0)8/(x^8){1-cos((x^2)/2)-cos((x^2)/4)+cos((x^2)/2)cos...

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  6. Evaluate: lim(x->0)(cos^(-1)((1-x^2)/(1+x^2)))/(sin^(-1)x)

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  7. Evaluate: lim(n->oo)n^2{sqrt((1-cos(1/n))sqrt((1-cos(1/n)) sqrt((1-cos...

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  8. Evaluate: ("lim")(x→0,y→0)(y^2+sinx)/(x^2+siny^2) where (x , y)→(0,0)...

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  9. Evaluate underset(ntooo)lim{cos((x)/(2))cos((x)/(4))cos((x)/(8))...cos...

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  10. Find the value of alpha so that lim(x->0)1/(x^2)(e^(alphax)-e^x-x)=3/...

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  11. If x(1) and x(2) are the real and distinct roots of ax^(2)+bx+c=0 then...

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  12. If lim(xrarr0)(1+ax+bx^2)^(2//x)=e^3, then the value of a and b, is :

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  13. Evaluate: ("lim")(n→oo)x[tan^(-1)((x+1)/(x+2))-tan^(-1)(x/(x+2))]

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  14. If ("lim")(x tooo){(x^2-1)/(x+1)-(a x+b)}=2, then find the value of a ...

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  15. Evaluate: lim(x->0)(e^x-1-x)/(x^2)

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  16. If ("lim")(x to0)(a e^x-b)/x = 2 , then find the value of a and bdot

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  17. Evaluate: ("lim")(xto1)("xsin"{x})/({x-1}) if exists, where {x} is the...

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  18. Evaluate: lim(x->2) (x^2-1)/(2x+4)

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  19. Evaluate: ("lim")(xto0)(1^(1//sin^2x)+2^(1//(sin^2x))++n^(1//sin^2x))^...

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  20. Let f(x)={{:(cos[x]", "xle0),(|x|+a", "xgt0):}. Then find the value...

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