Determine if the limit exists and if there is continuity or discontinuity for the attached file of functions

Q: 1. Analyze the continuity of the function represented in the right figure. Identify each…

A: To analyze the continuity of the function represented in the given figure and identify each…

Q: Draw a graph that is not continuous and not differentiable

A: Let us take greatest integer function.

Q: function is undefined at a specific value, does that mean the limit is automatically infinity or…

A: it doesn't mean that limit is always infinity.

Q: Can we evaluate the limit using f(c) if the constant c will not make the function undefined or…

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Q: What is a limit, and how is it used to describe the behavior of a function as the input approaches a…

A: the answer is in step2.

Q: The limit of the function lim (-1)Inxis x-0 a b C d 1 11

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Q: Use the graph of the piecewise function f in Figure to find each of the following,or state that the…

A: From the given graph, it is observed that the graph of function approaches 0 as the value of x…

Q: 3+x; xL1 3- X 14 X 8x 40 x 480 11x -4X; 80LX 280

A:

Q: Give a mathematical argument to show whether or not the function y = f(z) graphed in Figure 1 is…

A: Graph of the function is given, we have to find its continuous at the given points.

Q: Define 1 if x 2 Determine the values of a and b such that f(x) is continuous for all x.

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Q: How do we identify if the limit of a function exists or not?

A: Limit, depends on the possibility of closeness, utilized principally to allocate qualities to…

Q: 4 5 y = x? – 8x – 6 + - 8x – 6 +a

A: We have to differentiate the given equation.

Q: Create 1 graph of a function that shows continuous, removable, jump and asymptotic discontinuity…

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Q: Define the term Limit of a Function?

A: The limit of function can be stated as the limit of a function is the appraoched value of the…

Q: Find the values of a and b that make f continuous everywhere. 1 -- f(x) = x² - 4 X-2 ax² - bx + 3…

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Q: We informally describe a function f to be continuous at a if itsgraph contains no holes or breaks at…

A: Continuous function: A function fx is said to be continuous at point c if the following conditions…

Q: Find the limit of the following functions (some are indeterminate forms). x2+x-12 1. lim- x-3…

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Q: Give examples of functions f and g such that f and g do not have limits at a point c, but such that…

A: The objective of this question is to find two functions, f and g, that do not have limits at a…

Q: 28. Give an example of a function that has a limit at each integer but does not have a limit at any…

A: we have to give an example of a function such that its limit only exist on integer points and not on…

Q: G(x): x³+3x+2 x+2 [[_x_]] + 1 -12-X1 - x+3 + 1 x-r if x < -1 if -1 ≤ x 1 if xz1

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Q: All polynomial functions are continuous. * TRUE FALSE

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Q: What is the main condition that makes an ODE homogenous or non-homogenous?

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Q: Graph the sequence of continuous function that are  conversing on a discontinuous function

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Q: There does not exist a function that has infinitely many discontinuities. True False

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