9. Given the table of values below, what is lim x ,x <2 x-2(-x+6 ,x> 2' 1.9 1.99 1.999 2.001 2.01 2.1 f(x) 3.61000 3.96010 3.99600 3.99900 3.99000 3.90000 A. 2 В.3 С.4 D. Does Not Exist

Q: Only one of these calculations is correct. Which one? Why are the others wrong? Give reasons for…

A: In the first and second option, x was very small, approaching 0  And lnx was approaching -infinity.…

Q: 5. Evaluate the following limits, explaining your reasoning: sin x – x (a) lim (b) lim (1+ x)/= I 00

A: Given the limit function

Q: Find the limits

A: Recall

Q: Find lim (e* + x³ /2+2x)²/*. 1/x X+ 0+

A: Use log property and then use l hospital's rule to solve the limit.

Q: '+x-2 -? х—1 What is lim x-1 а.4 b.5 с. 6 d. 8 O a O b Ос O d

A:

Q: find: a) Lim x4-1 x2 b). Lim 10x-3 SinX

A: We have to find the following limit      alimx→1x4-1x2-1       blimx→010x-3sinxx

Q: Find the limit 8x2+ 10x lim x0 ex-1 a. None of these. оБ. 10 1 10 d. 10 Ое. 0

A: Topic = Limits

Q: (2z+1 if z < 3 (10-z if z 2 3* 3. f(z) = a.7 (2z+1 if z<3 4. f(z) = 110 – zif z 2 3 a. 7 S2z +1 if z…

A:

Q: The limits of the following two expressions are: 1 1 3. x' +x-6 (a) lim x-3 3+x (b) lim x2 x-2 A.…

A:

Q: y 6 4 3 2 -4 4 5 -2 -1 -1- 12 3 Find the value of the indicated quantity if it exists. lim f(x) 1.…

A:

Q: If lim f(x) = L, then f(a) = L. A) True B) False

A: We can find the value as below

Q: If lim f(x)=-2 and lim g(x) = 2, what is the value of lim [f (x)+2g(x)]?

A: Given, limx→afx=-2  and  limx→agx=2

Q: What is the value of x2 -9 lim a-0 x2 x - 6 -3/2 O 2/3 3/2 O DNE

A: limx→0x2-9x2-x-6

Q: 12. Evaluate the following limits. Use L'Hospital's Rule if it applies. a. lim- b. lim c. lim(x)

A: The objective of the question is determine the limits of the given function.   Note -  As per our…

Q: ex - 1 x→0 tanx 7. Find lim A. -1 C. 1

A: The given problem is solved below in detail.

Q: 2. Find the limits. Use L’hospital's rule where necessary. Not a calculator problem! x' – 7x? +10x…

A: (i) L=limx→2x3-7x2+10xx2+x-6=00 Now Apply L'hospital rule…

Q: Evaluate the following limits: 1 1 (i) lim{ sin -+cos- X X 1/x 1/x +a, 1/x a1 + (ii) lim ..... ,a1…

A:

Q: The given function is: VIXI The given function can be written as: y = y = √x, x ≥ 0 S-√√x, x 0…

A: The function is given as , y=x3

Q: 1-1/x Which of the following gives the value of lim- .? Select one: а. 2 b. .5 С. 1.5 d. 1

A:

Q: 3. lim x cot 2x

A: Given, limx→0x cot(2x)

Q: a. What is the domain of f? Express your answer in interval notation. f(x)= 1 - x^4 / x^2 - 1  b.…

A: The given function fx=1-x4x2-1. We have to find the domain, limit at x=1 and sketch its graph.

Q: 3. If lim f(x) = lim f(x) 5 whenf(3) = -1, what is the value of lim f(x)? ズー3 X-3+ b. -1 For items 4…

A: follow next step

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.