find the value of c that make the function continuous

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

A: The given function fx=xx2+x+2 is in gxhxform. The numerator gx=x is continuous for all x∈-∞,∞ in its…

Q: Describe the interval(s) on which the function is continuous. f(x) = 3 − √x

A: Given function is

Q: Show that the function is continuous. f(x) = x sinx

A:

Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

A: a rational function f(x)=p(x)q(x)   is discontinuous at point wheher q(x)=0

Q: Describe the interval(s) on which the function is continuous. f(x) = sec x/4

A: The denominator can not be 0.

Q: Describe the interval(s) on which the function is continuous.

A: Given: fx=xx+3

Q: Determine at which points, the functiont flx) = f(x). if x € Q 9f x ERIQ 9s continuous.

A:

Q: Express the area A of an isosceles right triangle as a function of the length x of one of the two…

A: We have to express the area A of an isosceles right triangle   We have to write area as a function…

Q: Find f(2) Is f continuous at x = 2? Explain your answer.

A: Given function

Q: f(x)=210, where is it continuous?

A: Given: fx=210 We know that graph of given function is horizontal line for every value of x

Q: Use the graph of the derivative f' of a continuous function fis shown. (Assume f' continues to o.) 4…

A: A function f(x) said to be concave upward in an interval for which f"(x)>0.

Q: What is the domain of the secant function?

A: Secant function , Sec xWe know        Sec x=1cos xTo find domain Put cos x=0

Q: Use the limit definition to calculate the derivative at x = a of the linear function f(x) = 13.…

A:

Q: Find the points of discontinuity of the function f(x)=arctan1x if they exist.

A: The given function is not defined at x = 0. Now the left hand limit at x = 0 is, And the right hand…

Q: Let f be defined as follows: x2 +5 for x > 5, Зах f(x)3D for xs5 For what value of a is the function…

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Q: Find thei maginary part of an analytic function whose real part is e(xcosy – ysiny

A:

Q: nuous

A: The function f is continuous at some point c of its domain if the limit of f(x), as x approaches c…

Q: Describe the interval(s) on which the function is continuous.

A: Given: Describe the interval(s) on which the function is continuous. f(x)=sec πx4Clearly from the…

Q: Find where the function is continuous, but not differentiable..

A: Given,

Q: Determine where the function f(x) is continuous.

A: The given function is , fx =x-8

Q: Determine whether the function is continuous or discontinuous 5. f(x) =

A:

Q: Describe the interval(s) on which the function is continuous.

A: Concept: A definition of a function is that a relation from a set of inputs to a set of possible…

Q: Find the values of a and b that make f continuous everywhere.

A:

Q: Suppose that f is a continuous function such that | f(x) dz = -12. Find | () dr.

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Q: = Find a continuous function

A:

Q: se the product rule to evaluate f(x)g(x)| at x =

A: Given that: f(x)=2x3-8g(2)=5g'(2)=-3

Q: f(a) = ca + 4 if a E (-∞, 2] I ca -4 if a e (2, 00) if a E (2, ∞)

A:

Q: If f(z) is analytic function show that:

A:

Q: Suppose that f is a continuous function such that | f(x) dz = -12. Find (*") dr.

A:

Q: Find thei maginary part of an analytic function whose real part is ex(xcosy-ysiny)

A:

Q: Determine algebraically if f is continuous at x= 0.

A:

Q: Determine if the given function is continuous at a given value of x.

A: This question is related to limits and continuity, we will solve it using given information.

Q: Let f be a continuous function. Show that 2022 f(x) dx. 2022 dx

A:

Q: Find continuous functions

A: Given,        fn:0, 1→[0, ∞)

Q: Use the definition for continuity to determine whether the function continuous at x= 1 and x= 2?

A:

Q: Determined where the function f(x) is continuous

A:

Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

A: A continuous function is a function having a smooth graph without any discontinuity. The…

Q: Which . functions are continuous through its domain?

A: Continuous Function: A function fx is continuous at a point c of its domain if  limx→cfx=fc A…

Q: Analyze continuity of the function.

A: Before going to the continuity, we will be finding the domain of the given function. Note that the…

Q: Determine the set of points at which the function is continuous

A: f (x, y, z) = sin-1 (x2 + y2 + z2) = t (Let's say)Hence, sin t = (x2 + y2 + z2)

Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

A: The function is defined when x+1≥0. Therefore function is defined in the interval -1,∞.

Q: Is the function continuous at the point being approached?

A: The given function is limy→1sec(y*sec2y-tan2y-1)   We have to check whether this function is…

Q: State the intervals on which the function f is continuous

A: A function is said to be in an interval if it's graph runs continuously without any break it that…

Q: Is the signum function, f(x) = sgn x, continuous at x = 0?

A:

Q: what condition when present are sufficient to conclude that a function f(x) is continuous at x=a

A: To show a sufficient condition to conclude that a function f(x) is continuous at x=a.

Q: Define for a function rasls, y. 2) - slelo), 0), alo) where and, are differentiable functions.

A:

Q: Determine at which points, the function 97× ナ x²if x E RIQ f(x)= is continuous.

A:

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.