er 2 Limits and Continuity it be extende the left? If sc Vcsc2 x + 5V3 tan x 38. lim should be? - 3 sec 21 51. f(x) 40. lim cos (In Vx) 53. f(x) S y that extends g(x) = (-9)/(x - 3) to be Theory an 55. A cont and po that extends h(t) = (t +3t - 10)/(t - 2) = 2. chat extends f(s) = (s1)/(s2- 1) to be one so 56. Expla at extends 57. Roots (x-16)/(-3x-4 4) three 6

Q: Give examples of functions that do not have any fixed points, but do have these char- acteristics:…

A: We know that a function f:A→A is said to have a fixed point if there exists x∈A such that fx=x. In…

Q: 4) (1, 4) 2) (3.-4) (-4, 5) Determine if f is continuous at x = c. (a) x = 4 (b) x = 1 (c) x = -1…

A: Given   The graph of the function  Definition of Continuity :-  A function f is continues at x= c…

Q: Find the limit of the function as x approaches 2+.* -5 -4 -3 -2 -1 O 1 DNE Option 5

A: What is the limit of function as x approaches to 2+

Q: Draw the graph of a function that's defined everywhere on the interva: [0, 5] that has an absolute…

A:

Q: Given the graph below, what can you say about the function at (-1,1)? Not Continuous Continuous

A: The graph of a function is said to be continuous if the value of the function exists for all values…

Q: Which of the following graph shows that f (z) = |r - 2| is continuous but not differentiable at x =…

A:

Q: Use the graph of f(x)below to answer the question. 3 On which of the following intervals is f(x)…

A: Given, Graph of the function f(x) We have to find the intervals where f(x) is continuous

Q: 3. Use the limit definition to calculate the slope of the tangent to the curve f(x) = x² + 3x-5 at…

A: The given curve is

Q: Analyze the continuity and differentiability of the function: at x = 1, calculating the…

A: Continuity of the function

Q: Give the formula for a function which has vertical asymptotes at x=7 and x = -6 but is otherwise…

A: A function has vertical asymptotes at x=7 and x=-6 but is otherwise continuous.

Q: Figure (a) shows a vacant lot with an 80 ft frontage in a development. To estimate its area, we…

A: It is midpoint Riemann sum      here length of interval  △x=20

Q: ample 23: Show that the function f(x)=1-1-x is continuous on the interval [-1. 11.

A: A function y=f(x) is continuous in an interval [a,b] if it exists for every x∈[a,b] In other words a…

Q: f (x) Let the f(x) function be given. x2 -1 a) Find the domain, the region of the continuity, the…

A:

Q: Describe the interval(s) on which the function is continuous. (TX) f(x) = sec

A: f(x)=sec⁡(πx4)

Q: (b) Sketch the graph of a continuous function with domain [0, 1] whose range also lies in [0, 1].…

A:

Q: 2. Is the function f(x) =² continuous on the closed interval [-1, 1] ? Draw its graph illustrating…

A: Given problem:- Is the function ƒ(x) = 3/x continuous on the closed interval[−1, 1]? Draw its graph…

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.