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Problem 2 Easy Difficulty

Graph the curve $y=e^{x}$ in the viewing rectangles $[-1,1]$ by $[0,2],[-0.5,0.5]$ by $[0.5,1.5],$ and $[-0.1,0.1]$ by $[0.9,1.1] .$ What do you notice about the curve as you zoom in toward the point $(0,1) ?$

Answer

The curve becomes almost indistinguishable from its tangent line.

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Video Transcript

So here we have you to the X on the interval. Negative 1 to 1. Presuming Sorry. We zoom in, get it a little Flatter the reason that further You're gonna be flattered. Expected to happen continuously.

University of Delaware
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