University of California, Berkeley

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Problem 8

Estimating a Limit Numerically In Exercises $5-10$ , complete the table and use the result to

estimate the limit. Use a graphing utility to graph the function to confirm your result.

$$\lim _{x \rightarrow 0} \frac{\sqrt{x+1}-1}{x}$$

Answer

$$\lim _{x \rightarrow 3} \frac{[1 /(x+1)]-(1 / 4)}{x-3} \approx-\frac{1}{16}$$

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## Discussion

## Video Transcript

Okay, so we have limited. The following function is multiplied by its conjugated cineplex. What's 11 over? Experts? 11 What do we get? We get the limit. Clippers, you girl of X plus one minus one over time. Screwed of experts one plus one ex order one inevitable in cancer now are X and X cancels and that we can plug in our exit. We could still get one over the square root of one plus one, which gives me one over two.

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