Determine whether the below function f is continuous or discontinuous at a =-3. If f is discontinuous at a = -3, determine whether f is continuous from the left at a = -3. continuous from the right at a = -3, or neither. x+3 x\x+3] x # -3 f(x) = - cos(xR) x = -3

Determine whether the below function f is continuous or discontinuous at a =-3. If f is discontinuous at a = -3, determine whether f is continuous from the left at a = -3. continuous from the right at a = -3, or neither. x+3 x\x+3] x # -3 f(x) = - cos(xR) x = -3

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.CR: Chapter 4 Review

Problem 6CR: Determine whether each of the following statements is true or false, and explain why. The only...

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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

Determine whether the below function f is continuous or discontinuous at a =-3.
If f is discontinuous at a = -3, determine whether f is continuous from the left at a = -3.
continuous from the right at a = -3, or neither.
x+3
xx+3|
x+ -3
f(x) =
cos(xR)
x = -3

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