Posted by **Hannah** on Tuesday, February 1, 2011 at 6:33pm.

Calculate the limit

limit x->infinity 2x^2 + 100 / x^2 +1

I am not sure how to do this.

- Math - Limits :( -
**MathMate**, Tuesday, February 1, 2011 at 8:08pm
I am not sure if you actually mean

limit x->infinity (2x^2 + 100) / (x^2 +1).

If that's the case, parentheses are required (and not optional) :(

When evaluating the limit of a rational function to infinity, check the leading terms (i.e. term raised to the highest power) of the numerator and the denominator.

If they are to the same degree (i.e. raised to the same power), then the limit is the quotient of the coefficients, in this case 2x²/x² = 2.

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