Determine whether f(x) = approaches o or - as x approaches - 5 from the left and from the x² - 25 right by completing the tables below. -5.5 -5.1 -5.01 -5.001 f(x) -4.999 -4.99 -4.9 -4.5 S(x) lim f(x)= - 0, lim (x)= ∞ a. x--5- b. lim fAx)= 0∞, lim f(x)= - ∞ lim (x)= ∞, lim (x)= ∞ c. d. lim (x)= -∞, lim (x)=– ∞

Q: lim f(r). エ→2+

A:

Q: x #2 2 x² – 4 Vx² +1-Va² +1 X-a V3x -3 よ#3 3 x - 3

A: We have to evaluate the given limit.

Q: 4: x>3 28. f(x)=-1; x= 3 -4; Evaluate a. lim f (x), b. lim f(x), and c. lim f (x). x<3

A: We can answer all the three subparts as below

Q: 1 ii. lim f(x) 24-3+ (a) State the value of each quantity, if it exists. If it does not exist,…

A:

Q: -5 -4 Ef +3 graph below is the function f (x) -3-2 -3) = lim f(x) = -3- f(x) = f(x)= 5 4 3- 2 +…

A: Explanation of the answer is as follows

Q: Use the graph of the function to answer the each question 1. limr-0-f(x) = 5- 2. lim,o+ f(x) = 4 3.…

A:

Q: Sketch the graph that satisfies all of the given conditions. f(2) = 0 f(x) 2 f(x)>0 when x 0 when…

A:

Q: 3. Evaluate. 3x +x lim (a) x² -6

A:

Q: 5. lim -0.01 -0.001 -0.0001 0.0001 0.001 0.01 f(x) x-4 : lim x0x2 - 16 Mel

A: To complete the table and make the graph

Q: 2. If lim(x) – 8 I-1 x-1 10, find lim f (x). Explain your answer. %3D

A:

Q: Find the value of the constant k that makes the function continuous. g(x) = 2 2x-5x-25 if x 5 x-5…

A:

Q: 4ー npaメ lim メ-2

A:

Q: Find lim f(x). Im f0) -O x-2" X--2" (2.4) (4.3)

A: solution:-left hand limitlimx→2-f(x)=0

Q: f(x)=x-5 x 1. f(5)= 2. lim (x-5) as x->5 = g(x)= x = f(x) 3. g(5)= ²-25 x-5 g(x) 4. lim g(x) as x->5…

A:

Q: 2x-1: x>1 29. f(x)=-1: x=1 1-4x; x<1 Evaluate a. lim f (x). b. lim f (x), and c. lim f(x). 27, 7,

A: Given query is to find the indicated limit.

Q: (3a + 2h)16/5 - (3a)16. Evaluate lim h-0 h

A:

Q: -2 -3 -4 -5- -6- -7+ lim f(z) = OLimit does not exist. TIP Enter your answer as an integer or…

A: At any point for any function f(x) the limit limx→afx=L exists if limx→a−fx=limx→a+fx=fa.

Q: If lim fx) - 7 x-1 x - 1 5, evaluate lim f(x). X-1

A:

Q: Use the 8 and € approach like we did in our class to prove the following lim (3x²-5) = -2, Assume 8…

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.