4) A vibrating string, like on a guitar, often takes the form of e*sin(x). a) Graph this function to try to decide the value of lim e-*sin(x) We can use "The Squecze Theorem" to prove your result. -1< sin(x) < 1, so -e* se-* sin(x) se* b) Let's find the limits of the two squeezing functions. lim -e-* = lim e 00-X c) Are they the same? If they are, then they tell you the limit of the middle function lim e¯*sin(x).

Q: Sketch the graph of a function that satisfies all of the given conditions. f'(0) = f'(4) = 0, f'(x)…

A:

Q: Graph of f The graph of y = f(x) is shown above. Which of the following is true? f(ath) f(a) lim A…

A:

Q: im xto1 of the function e(2^x) /(x^2) .. use L'Hoptial's Rule

A: Given information: limx→1e2xx2 The objective is to evaluate the limit by using L'Hopital's rule.

Q: Sketch a graph of a function y = f(r) which is continuous on (-4,2) U (2, ∞), is discontinuous = 2,…

A: The function which is continuous on , is discontinuous at with the properties,i) ii) iii) .We have…

Q: Sketch the graph of a function, fl(x), that has the following properties: Domain of f (x): (-0,1) U…

A: From the domain for f(x) , the function is not defined at x = 1. The derivative f'(x) is undefined…

Q: G1. With paper and pencil, sketch the graph of a function y = f (x) with the following properties:…

A:

Q: Let ƒ be a strictly increasing, continuous function on (a, b). Let A = lim f(x) and B = lim f(x).…

A: Given that, f be a strictly increasing, continuous function on (a, b). A=limx→a+f(x)B=limx→b-f(x)

Q: nformation about functions f, g, and p are given below. Based on the given information decide…

A:

Q: 10. Sketch the graph of a function which satisfies all of the following conditions: • ƒ(1) = f'(1) =…

A: To Sketch: graph of a function that satisfies all the following conditions: f(1)=f'(1)=0…

Q: x² + x³y + y² x² + 2y² Explore lim (x,y) →(0,0) f(x, y) either proving it does not exist or…

A: fx,y=x2+x3y+y2x2+2y2limx,y→0,0fx,y=limx,y→0,0x2+x3y+y2x2+2y2 Let y=mx fx,mx=x2+x3mx+mx2x2+2mx2…

Q: Evaluate the following limits if they exist x +5x-3 a) lim x² + 2x – 6 x² – 3x – 1 b) lim x' +1 c)…

A: In the question we have to calculate the limit of the following functions given.

Q: r best submission for each question part is used for your score. [-/6 Points] SCALCCC4 2.3.027.…

A: Three functions are given by, fx = -x2, gx = x2cos5πx and hx = x2. The objective is to use the…

Q: Status. Fill in the blanks below to find f'(x) when f(x)=x²+3. Note: to type a function like x2,…

A:

Q: 2) Sketch the graph of a function fthat satisfies all of the following: • lim f(x) =-5 • f(-1)=2 lim…

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.