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

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

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  2. If lim(x->0)(1+a x+b x^2)^(2/x)=e^3, then find the value of a and b.

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

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