• Use sequential continuity to show that any polynomial P(x) = x^n + an-1x^n-1 + … + a1x + a0 is

Name: • Use sequential continuity to show that any polynomial P(x) = x^n + an-1x^n-1 + … + a1x + a0 is continuous from ℝ to ℝ.
Uploaded: 2022-03-17T12:37:25-08:00
Duration: 1 min 9 s
Channel: Carson Merrill
Description: • Use sequential continuity to show that any polynomial P(x) = x^n + an-1x^n-1 + … + a1x + a0 is continuous from ℝ to ℝ.

Question

Carson Merrill · Accepted Answer

Step 1: Let $(x_n)$ be a sequence in R that converges to a point $x in R$.

Question

• Use sequential continuity to show that any polynomial $P(x) = x^n + a_{n-1}x^{n-1} + \dots + a_1x + a_0$ is continuous from $\mathbb{R}$ to $\mathbb{R}$.

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