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Evaluate the following limit: lim(x->oo)...

Evaluate the following limit: `lim_(x->oo)sqrt(x+1)-sqrt(x)`

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`(lim)_(x->oo)sqrt(x+1)-sqrt(x)`
`= lim_(x->infty) sqrt(x+1)-sqrt(x)xx{ sqrt(x+1)+sqrt(x)}/{ sqrt(x+1)+sqrt(x)}`
`=lim_(x->infty) {x+1-x}/{ sqrt(x+1)+sqrt(x)}`
`=lim_(x->infty) 1/{ sqrt(x+1)+sqrt(x)}`
`=0`
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  3. Evaluate the following limit: lim(x->oo)sqrt(x+1)-sqrt(x)

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  10. lim(x->oo)(x^4+7x^3+46 x+a)/(x^4+6) where a is a non-zero real number.

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  11. Evaluate the following limit: lim(x->-oo)(sqrt(x^2-8x)+x)

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  12. Evaluate the following limit: lim(x->oo)(sqrt(x^2+a^2)-sqrt(x^2+b^2))/...

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  14. lim(n->oo)(1^2+2^2+3^2+..........+n^2)/n^3

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  16. Evaluate the following limit: lim(x->0)(sinxcosx)/(3x)

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