# `lim_(x->oo)(x + x^2)/(1 - 2x^2)` Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’s Rule doesn’t...

`lim_(x->oo)(x + x^2)/(1 - 2x^2)` Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’s Rule doesn’t apply, explain why.

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Student Comments

scisser | Student

Using an easier method,

Look at the highest degree terms. Since they are to the same power, now look at the leading coefficients, which is `-1/2`

Therefore,

`lim_(x-gtoo)(x+x^2)/(1-2x^2)=1/-2`