Finding the limit graphically Limits may not exist: • if the values near x = a cannot 'agree' on a common y-value, the limit might not exist • consider approaching along f from the left • and then consider approaching from the right • do our two approaches "come together"? if they come together, then we say the limit equals the matching output as we approach from each side • if they do not come together, we say the limit "does not exist" (DNE) Practice Graph A Graph B 1.0 1,0 1,0 lim f(x) = lim f(x) = x-1 x-1 Graph C Graph D

Q: The figure below shows the graph of a linear function, f(x), whose limit at an unspecified…

A:

Q: The function fx) = is discontinuous at 2 locations. Find both of the x-values at which f(x) is…

A: Given that: f(x)=x2x3-x2

Q: 3. Given the following functions find the limits (if they exist).If the function is discontim the…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 32? And are

A: {x2                               if x<-2f(x)={x1/5                           if…

Q: a) Complete the table by evaluating f (x)at the specified values of x. Then use the table to…

A: Part(a)f(x)=(3x2+2x+1)1x x -0.1 -0.01 -0.001 0 0.001 0.01 0.1 f(x) 6.445 7.313 7.381 DNE 7.396…

Q: If p is the current frequency of the resistance gene in a model for the spread of drug resistance,…

A: We need to find the value of  limp ->19p2-2pp2-2

Q: if x -6 Calculate the following limits. Enter "DNE" if the limit does not exist, or "oo" or "-oo"…

A:

Q: Use graphs to identify the values of c for which the limit of f(x) as x approaches c does not exist.…

A: The limit of a function exists at x=c when the limit of f(x) when x approaches c- and when x…

Q: Neatly sketch and label the graph. Provide a hand drawn sketch that meets the following criteria: _)…

A:

Q: Use the given graph of the function f to find the following limits. If a limit does not exist, type…

A: In the graph open circle represents that at that point function value is not defined but it is…

Q: (6,5), (1,4) (-4,2), (6,2) -2 2 4 6 -2 9(1.-2) -4 lim f( x x →-4+ (-) 2.

A: Correct answer is 2.

Q: Which graph shows 2 as the limit of the function f(x) as it approaches 2? * 3. 2. 1- 1- 123 1- 3. 1.…

A:

Q: 2:49 . LTE 45 l Graded Individual Assessment Problem Set B 1. The diagram below shows the function…

A: Step 1: explanation for question (1) Step 2: explanation for question (2) Step 3: explanation for…

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.