https://youtu.be/TSyFU3PlNTY

In this video I go over more examples on infinite limits at infinity to better illustrate the concept. In one example I show how you can graph a function by knowing the x and y intercepts as well as the limits at infinity.

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# Infinite Limits at Infinity – Examples Part 2

![Infinite Limits at Infinity Examples Part 2.jpg](https://files.peakd.com/file/peakd-hive/mes/oYx2AkTb-Infinite20Limits20at20Infinity20Examples20Part202.jpg)

## Example 1

![image.png](https://files.peakd.com/file/peakd-hive/mes/R1mn4KR4-image.png)

**Solution:**

Divide by highest power in the denominator :

![image.png](https://files.peakd.com/file/peakd-hive/mes/04s86hRS-image.png)

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## Example 2

Sketch the graph of: y = (x – 2)<sup>4</sup>(x + 1) <sup>3</sup> (x – 1) by finding its intercepts and its limits as x → ∞ and as x → ∞.

**Solution:**

![image.png](https://files.peakd.com/file/peakd-hive/mes/4o5RqOHn-image.png)

![image.png](https://files.peakd.com/file/peakd-hive/mes/CfL8i3gI-image.png)

![image.png](https://files.peakd.com/file/peakd-hive/mes/sR3FLqhw-image.png)

![image.png](https://files.peakd.com/file/peakd-hive/mes/r1vKtGdg-image.png)