what is lim of x approaches -8 from the left of 7x+56/abolute value of x+8

Q: 1-z = ? What is lim %3D !- 2!- -2

A: In order to evaluate the limit of a function f(x) at certain point a then replace x by a to get…

Q: What is lim x=inf (x_n) and y=lim sup (x_n) where x_n = [(-1)^(3n)] + 2? (express answer as x,y)

A: Solve the following

Q: Show that lim(5x+2)=-18 x-> -4

A:

Q: find the limit or explain why it does not exist.

A: The limit shows the function behaviour at given point. The value of function for a given limit is…

Q: find the limit or explain why it does not exist.

A: Limit functions generally have indeterminate forms meaning after putting the limit at some point,…

Q: 2. Explain why f(x, y) must approach a unique number L as (x, y) approaches (a, b) along all paths…

A: A number L is said to be the limit of a function f(x,y) as (x,y)→a,b , if for any real number ∈>0…

Q: What is lim x-inf (x_n) and y=lim sup (x_n) where x_n = [(-1)^{3n}] + 2? (express answer as x,y)

A:

Q: What is lim 2 (x - 2)

A: Given

Q: find the limit or explain why it does not exist. 1 - Vx lim 1- x

A: we have to find the limit . limx→11-x1-x

Q: Prove the limit statement : lim x approaches 3 of (3x-7) = 2

A: Refer to the question to prove lim x approaches 3 of (3x-7) = 2.Now for existence of the limit Left…

Q: What is lim In x? x→2

A:

Q: Evaluate the limit: lim 7x2 cos(2x) - 7

A: we have to evaluate , limx→-π77x2cos(2x)

Q: 5. Use the Squeeze Theorem to evaluate lim sinz 1-00

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Evaluate the limit: 2x +10 lim x-5 x +2x -15 lim as x -> -5 of |2x + 10|| divided by x ^ 2 + 2x – 15…

A: Evaluate the limit

Q: What is lim ? X-0+ x

A:

Q: .) Find the limit or show that it does not exist. lim √25t²+2-5t 1-x

A:

Q: What is lim x-inf (x_n) and y=lim sup (x_n) where x_n = [(-1)^{3n}] + 2?

A: We have to find the lim inf and lim sup of sequence

Q: Find limx→−∞(x2 −1)e4x. Show work.

A: We need to find : limx→-∞(x2-1)e4x

Q: Find the limits limx→ -∞tan-1 x

A:

Q: Determine the limit: 12x - 10| lim %3D 5 - x X5

A: To find  The given limit

Q: Find the limit (if it exists). If it does not exist, explain why.

A: Given: limx→2+2x-x we know that 2+=2

Q: Find lim,x - Vx²+ 2

A: To find the limit

Q: Use the ε- definition of limit to prove...

A: let the value of the ∂ be ∈3 thus the limit limx→2(3x-2)=4 is proved when the expression…

Q: Prove lim as x approaches 1 = 14x^2 - 20x +6 / x-1 = 6

A: To find the limit of the given rational function as x tends to 1

Q: . Use the definition of limit to prove lim = 2r - 3 = 7.. %3D %3D

A:

Q: Find the value of the limit: 3 tan(4x)– 12x lim

A: From the given problem:   limx→03tan4x-12xx3   This problem can be solved by the series expansion of…

Q: Is there a value of a for which limx1 3x^2+ax+a+3/x^2+x-2 exists? Enter the value of a if such a…

A:

Q: lim (4x – V16x² + 3x – 5 (4* Зх — 5 00-x

A:

Q: find the limt for

A:

Q: Find lim *2 x -2 In(x- 1) by using the La'Hospital Rule.

A:

Q: lim (3x + 5) = 2, x→-1

A:

Q: 4. Using the precise definition of a limit, prove lim (2x +8) = 38. x-15

A:

Q: find the limit or explain why it does not exist. lim 12 In (2 – Vi) -

A: We have to evaluate the following limit: limt→1t2ln2-t

Q: Find the limit or determine that the limit does not exist limx→∞ (2-x)/(√4x2 + 13) 4x2 + 13 is all…

A:

Q: ve that lim 1 by definition.

A:

Q: Jx +3 Find the limit. If it doesn't exist, explain why. lim x->9 x-9

A: limx->9x+3x-9

Q: 2 Find the limit or show that it does not exist. 8. lim (/4x2 + 3x + 2x) X→-0

A:

Q: Use L'H rule to find lim (1 – 2x)/*. -

A: Question is solved.

Q: Which property of f(x) = x' allows us to conclude that lim x- 8?

A: f(x)=x3 is a continuous function. So, it is continuous at x=2 also.

Q: Find the limit (if it exists). If it does not exist, explain why.

A: limx→4-x-2x-4

Q: In(x²) lim 7x

A: Given: limx→∞lnx27x we know that lnmn=nlnm so, limx→∞lnx27x=limx→∞2lnx7x=27limx→∞lnxx  ∞∞form we…

Q: By using the definition of limit, prove that limx→-3 2x+9 II

A: solution is given below..

Q: Use the Squeeze Theorem to find limx→8f(x), given that  2−|x−8|≤f(x)≤2+|x−8|.   limx→8f(x)=

A: To use the Squeeze Theorem to find limx→8f(x), given that  2−|x−8|≤f(x)≤2+|x−8|.

Q: Find the limit as a approaches 4 from the left. 3 lim x4 I - 4 -00

A:

Q: Find the limit or show that it does not exist. lim √25t² + 2 − 5t t-x

A:

Q: Use e-5 definition and prove that lim (2 5r) -6

A: Here we use basic definition of epsilon and delta .

Q: Find the limit or show that it does not exist lim 212 + 3t – 5

A:

Q: ) Use the definition of limit to verify lim -3x +2 = –10 x→4

A:

Q: Prove lim(3x–10) =-4 using the ɛ, d definition of a limit. 2

A: Recall: ε -δ Definition :Let f be a function defined in a deleted neighbourhood of 'a' . Then a real…

Q: B) Without using L'Hopital's rule, find: lim 3-Vx2+9 x2

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.