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Let f(x)=x+sqrt(x^2+2x) and g(x)=sqrt(x^...

Let `f(x)=x+sqrt(x^2+2x)` and `g(x)=sqrt(x^2+2x-x) ,` then which of the following is/are true.
a.`lim_(x->oo)g(x)=1`
b. `lim_(x->oo)f(x)=1`
c. `lim_(x->oo)f(x)=-1`
d. `lim_(x->oo)g(x)=-1`

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