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Evaluate the following limit: (lim)(x...

Evaluate the following limit: `(lim)_(x->1/(sqrt(2)))(cos^(-1)(2xsqrt(1-x^2)))/(x-1/(sqrt(2)))`

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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
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  3. Evaluate the following limit: (lim)(x->1/(sqrt(2)))(cos^(-1)(2xsqrt...

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  5. Evaluate the following limit: (lim)(x->(3pi)/4)(1-tan3x)/(1-2cos^2x)

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  9. Evaluate the limit if exists, lim(x->1)[{ln(1+x)-ln2}{3.4^[x-1]-3x}]...

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  10. The value of ("lim")(xvec1)(p/(1-x^p)-q/(1-x^q)),p ,q , in N , equal ...

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  11. let {an},{bn},{cn} be sequences such that (1) an+bn+cn=2n+1 , (2) anbn...

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  13. Let L=prod(n=3)^oo (1-4/n^2); M=prod(n=2)^oo ((n^3-1)/(n^3+1)) and N=p...

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  14. If l = lim(a-> oo) sum(r=2)^a [ (r+1) sin (pi/(r+1)) - r sin (pi/r...

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  15. underset( xrarr oo )("Lim")x^(2) sin(lnsqrt( cos ""( pi)/( x)))

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  16. underset( x rarr oo)("Lim")[cos (2pi ((x)/(1+ x ))^(a))]^(x^(2))a in Q

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  17. lim(n->oo) ((sqrt(n^2+n)-1)/n)^(2sqrt(n^2+n)-1)

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  18. (lim)(x->0)[((1+x)^(1//x))/e]^(1//x)\ \

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  19. Evaluate : lim[x->oo](x/e-x(x/[x+1])^x)

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  20. Let x0=2(cos)pi/6and xn=sqrt(2+x(n-1)).n=1,2,3,....... find Lim(n->oo)...

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