If there's a "+" sign on the limit, the function must only approach the limit from the right. If the limit has no "+", the function must approach the limit from the left and right sides. Thank you! Create the graph of a function, y = p(x), such that:lim p(x) = 1lim p(x) =- 3x→2lim p(x) =- 2x6p(6) =- 2b.Determine the instantaneous rate of change of p(x) atx=2.с.Does p(x) have any discontinuities, if so, where?

(a) Given limx→3+px=1limx→2px=-3limx→6px=-2p6=-2

Create the graph of a function, y = p(x), such that: lim p(x) = 1 x+3* lim p(x) =- 3 x→2 lim p(x) =- 2 x→6 Р(6) %3— 2 Determine the instantaneous rate of change of p(x) at x=2. Does p(x) have any discontinuities, if so, where?

Create the graph of a function, y = p(x), such that: lim p(x) = 1 x+3* lim p(x) =- 3 x→2 lim p(x) =- 2 x→6 Р(6) %3— 2 Determine the instantaneous rate of change of p(x) at x=2. Does p(x) have any discontinuities, if so, where?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

If there's a "+" sign on the limit, the function must only approach the limit from the right. If the limit has no "+", the function must approach the limit from the left and right sides. Thank you!

Create the graph of a function, y = p(x), such that:
lim p(x) = 1
lim p(x) =- 3
x→2
lim p(x) =- 2
x6
p(6) =- 2
b.
Determine the instantaneous rate of change of p(x) at
x=2.
с.
Does p(x) have any discontinuities, if so, where?

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