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Evaluate (lim(x->oo))(x(log)e{(sin(a+1/...

Evaluate `(lim_(x->oo))(x(log)_e{(sin(a+1/x))/(sina)})`, `0 lt a lt pi/2`

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  10. If lim(n->oo)1/((sin^(-1)x)^("n")+1)=1 ,t h e n find the value of x.

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  12. Evaluate underset(xto0)lim(e^(x)-e^(xcosx))/(x+sinx).

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  18. ("lim")(xvec1)((x^4+x^2+x+1)/(x^2-x+1))^(1-"cos"(x+1))/((x+1)^(2))i se...

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  20. ("lim")(xvec2)(((x^3-4x)/(x^3-8))^(-1)-((x+sqrt(2x))/(x-2)-(sqrt(2))/(...

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