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Evaluate the limit limx approches 0 x square+ x over x

Evaluate the limit limx approches 0 x square+ x over x-example-1
User Flore
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1 Answer

6 votes

Explanation:

If we use direct substitution, we will get


(0)/(0)

Which is intermediate from so we must use.algebraic manipulation

Let's divide everything by x

We would get


(x + 1)/(1)

So the limit as x approaches 0 is


1

Proof using a graph:

As x gets close and closer to 0, f(x) approaches 1. Limits does not care about discontinuity, only what the function gets closer to.

Evaluate the limit limx approches 0 x square+ x over x-example-1
User Ggdx
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7.6k points