If f (s Continuous then on -fex) True or felse?

Q: is continuous at x=3, f (-1) =6 ? + a, x # 3 3b, x 3 ontinuous at x=2? - x > 0

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Q: х+ 2 if x 0

A: The given function is  f(x) = x+2ifx<02x-2ifx≥0

Q: if r = -1 Is f(r) = · continuous at r= - -1? (Show your work using limits.)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: What three conditions must be met for a function ƒ to be continuous at the point (a, b)?

A: Continuity at points: The points of continuity are the points where a function exist and has some…

Q: Use the limit definition of the derivative to compute f'(x) for f(x)= 1/ sqrt of x

A: Given, f(x)=1x

Q: Q7 Show that f is continuous on (-∞, 0) sinxif x - 4

A: Trigonometric function with sine and cosine in continuous in its domain.    Here in this question,…

Q: Either a function is not differentiable at a point or it is continuous at that point. O True False

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Q: When is a function continuous over a closed interval?

A: A function is continuous over a closed interval when it is defined at all points in the interval…

Q: Show that f1x2 Vin x is right-continuous at x = 1.

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Q: What is the limit of (sinx)/x if x approaches to 0?

A: Given: A function limx→0sin xx and x approaches to 0. Since sin xx is an intermediate form of type…

Q: The limit of sin x as x approaches positive infinity does not exist. O True O False

A: Topic:- limits  Note:- As per our guideline if more than one question uploaded than only first…

Q: Compute the derivative of f (x) = x3/2 using the limit definition. Hint: Show that

A: we have;  f(x)=x32

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: Show that the absolute-value function y = abs(x) = |x| is NOT differentiable at x = 0. (Hint: by…

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Q: How are the continuous extensions often found?

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Q: Describe a case where f(x) has a limit but is not continuous?

A: We know, if the left-hand limit is equal to the right-hand limit, then the limit of the function…

Q: Find the equation of the tangent line of f(x) = sqrt(x+1) at x = 0 using the definition of limits.

A: To find: The equation of tangent of line. Given: The function is f(x)=x+1. Concept used: Slope…

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

A: Given,

Q: ) Let f(x) = 3x – 1. Use the limit definition of the derivative to find f'(x). %3D (3 Marks)

A: Answer - definition of derivative f'(x) = lim h tends to 0 ( f(x+h) -f(x) ) /h

Q: How do i figure out whether this function is continuous or not (proving it) without given at which…

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Q: Does the MVT apply to f(x) = - on the interval [1, 4]?

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Q: find the x-values (if any) at which ƒ is not continuous. Which of the discontinuities are removable?

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Q: If f is continuous on (-x, ∞), what can you say about its graph?

A: If f is continuous on (-oo oo) what can you say about its graph?

Q: ) Use the limit definition of derivative to compute k'(x).

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Q: Find the limit of the transcendental function. Ilm sin 7tx

A: topic- limits

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

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Q: Could the limit as xà1 of f(x)=(x+sinx)/(1+x+cosx) be found simply by substituting 1 into the…

A: Given function f(x)=(x+ sin (x))/(1+x+ cos (x)) Now we will evaluate limit of f(X) as X tends to 1…

Q: Find all values of a and b that make -а - х, x<-2 f(x) = {bx? + 1, Vx+b, -2<x<1 x21 continuous…

A: The function is given by: f(x)= -a-x , x&lt;-2           bx2+1 , -2≤x&lt;1         x+b   , x≥1 Also…

Q: Find the limit as x approaches infinity of f(x) when f(x) is x times square root of x

A: x times sqrt(x)= x times x^(1/2)= x^[1+1/2] = x^(3/2)

Q: The function is continuous from the right at x = 2. Select one: True False f(x) = x+ 2 x². x < 2 x22

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Q: Explain, using limits, why f(x) = - is not continuous at x = 0.

A: To Determine: explain using limits why f(x)=1x  is not continuous at x=0. Given: we have a…

Q: Express the limit as a definite integral on the given interval.

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Q: find the value of c that make the function continuous

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Q: Let ƒ be a function that is continuous on [0, 2] and đifferentiable on (0, 2). Suppose that f (0) <…

A: Yes, we will show that f' necessarily take on both positive and negative values on (0, 2). If the…

Q: Suppose that f hits every value between y = 0 and y = 1 on the interval [0, 1]. Must f be continuous…

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Q: True False Suppose f(x) is differentiable at x=a. Then f also continuous at x=a.

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Q: Would it be possible for a function to be continuous on [0,2) but not on [0,2]?

A: Let us consider the function f(x) =(x+4)/(x-2) .

Q: If f is even and differentiable function, the x = 0 is a critcal number of f. True or False

A: Known fact: For even differentiable function, 0 is a critical number.

Q: What does it mean to say that  f is concave upward onan interval  I  ?

A: What does it mean to say that  f is concave upward on an interval  I  ?

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: limit x to infinty tan(5t)sec(99t)/t

A: Lim           f∞(st) Sec(q q t )tx→∞    Here limit x→∞ But the function is in t ∴

Q: If a function is continuous everywhere, its domain is all real numbers. If the limit exists as x…

A: The given statement is

Q: Is f continuous at x = 1?

A: The condition of continues function is, limx→a+fa=limx→a-fa=fa   For limit of function from the…

Q: express the limit as a definite integralon the given interval

A: Question: Answer:

Q: a function is continuous at x = c, then the limit exists as x approaches c. If the domain of a…

A: a. If a function is continuous at x = c, then the limit exists as x approaches c By the definition…