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

Evaluate:` lim_(n->oo)n^2{sqrt((1-cos(1/n))sqrt((1-cos(1/n)) sqrt((1-cos(1/n)) ..oo)))}dot`

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. 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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  2. Evaluate: lim(x->0)(cos^(-1)((1-x^2)/(1+x^2)))/(sin^(-1)x)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. If f(x)=|x-1|-[x], \where\ [x] is the greatest integer less then or eq...

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  18. If y=2^(-2^((1/(1-x))) , then find lim(x->1^+)y

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  19. Let f(x)={1+(2x)/a ,0lt=x<1 and ax ,1lt=x<2 If lim(x->1)f(x) exists ,...

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  20. Evaluate ("lim")(x->0) (sinx-2)/(cosx-1)

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