From the graph: (x) is discontinuous at x= 3 because of (a) Lim f(x) = f(3) (b) Lim f(x) doesn't exist (c) Lim f(x) + S(3) (d) f(3) is defined

Q: Find the limit for when x -> 4 lim F(x), for f(x)= x2+2 ; x≠4 ; 27; x=4

A:

Q: Find limit of lim x-->0 of f(x)= (e3x-3x-1)/(4x^2

A: Given limx→0e3x-3x-14x2

Q: Find the limit V3x(x-1) lim→1 |x-1|

A: we have limx→1-3x(x-1)|x-1| this is 00 indeterminate term

Q: B. Find the value of the limit. 1. lim *+1)²(x-1) x1 x³+1 x²–4 2. lim x1 x2-3x+2 x²-4 3. lim x2 x-2

A:

Q: Find the limits a) lim x2 - 4x + 3 x2 - 1 when x approaches 1 b) lim 6x + 100 7x2 100 when x…

A: We have to find the limit

Q: Evaluate the limit.

A: If we substitute 2 for x in the expression it gives the form as which is an indeterminate form.

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 (if it exist).

A: Given,

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

A:

Q: B. Find the limit. Зх — 1 5. lim х-1/3 9х2-1 x3 - 1 6. lim х+1 х-1

A: As per our guidelines we are supposed to answer only 3 subparts

Q: Find the limit, if it exists.

A: Consider the given: limx→∞ x21−8x2Divide numerator and denomintor by "x2",limx→∞ x21−8x2=limx→∞…

Q: Sketch the graph of a function with the given limits.

A: Given the function with the limits.

Q: 3 If lim f(x) = 3.5 and lim,-2+ f(x) = 6.5 the function has a double sided %3D x-2- limit or one…

A: A limit is the value that a function approaches as the input of that function approaches a certain…

Q: . lim (3 – 2e

A:

Q: Draw a graph where lim x→2 f(x) exists but f(x) is discontinuous at x = 2. Name the type of…

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Q: x² – 1 lim x→1 x – 1

A:

Q: Q2 e valuat of the fallowing 2. ☺ lim L(x +3)t -16] xーース ☺ lim -25 X+5 メー5 lim |-X 3+X 9. X-3 メー] O…

A: To evaluate the given limits.

Q: Find the indicated limit if it exists. 3-Vx+7 a) lim 2-x X-2

A:

Q: Evaluate lim as x approaches negative infinity 3e^2x + 4e^-x / e^2x - 2e^-x .

A: Limit of a function determines the continuity of a function. Three types of limits exist, one is…

Q: Find the limit. lim_ (x² + 2x) x--2

A: Solution

Q: The value of the limit x42x-3 lim メー)イ X-イ

A: Given : limx→1x2+2x-3x-1

Q: Evaluate the limit: -V4+x² lim X→0- x2

A: limx→0--4+x2x2

Q: Find the limit. . lim 2x²-x-3 X-1 x+1 . lim 2+h-vZ x-5 E lim x-5+ x2-25 . lim o. f (x) = fx³ +3 lx -…

A:

Q: lim f(x) x--> 3, where f(x) = {2(x+1), if x < 3 or 4, if x = 3, or x^2 - 1, if x > 3}…

A: First we find the limit of f(x) from left side and right side .

Q: 5) Does the limit |x+1| lim x-1 x+1 exist? If yes, find its value, if not - explain why. Show all…

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Q: Find lim f(x) and determine if continuous at x =2 エ→2

A: We have to check

Q: What is lim )-7(0) if f(x) = 2x2 + 1? x-0 The limit does not exist. 1

A: Solve for the limit

Q: 5. If lim f(x) = 8 but lim f(x) does not exist, what can you X+2+ X+2 say about lim f(x)? X2-

A: We know that, limx→afx=l, if: limx→a+fx=limx→a-fx=l

Q: Find the indicated if it exists: lim x to +infinity;  2x2+3x+1 divided by x4 - x2

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Q: what is the lim x->0  f(x)-f(0)/x^2 if f(x)=2x^2+1?

A:

Q: Find the limit of lim((9+3x)1/2-3)/x as x approaches 0

A: To determine the value of the limit.

Q: Use lim f(x) = -2 and lim g(x) = 5 to find the limit. %3D lim [3f(x) – 4g(x)]

A: The given limits are limx→cf(x)=-2 and limx→cg(x)=5

Q: If lim (x approaches 6) (f(x)-4)/(x-3)= 2, how do I find lim (x approaches 6) f(x)?

A: We separate the limit first.

Q: Evaluate the limit: lim --> 0 (ex+3x)1/x

A: It is an indetermined form of questions in case of limit. Which will be solve easily by below given…

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

A: limx→0-xx

Q: 3) If lim dt) = 5, can there be a vertical asymptote in the graph of d(f) at t = 0?

A: Given               :  limt→0- d(t)=5   Not Given       :  limt→0 d(t)=? limt→0+ d(t)=?

Q: Find the limit x-5 lim x→5 x²-25

A:

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

A:

Q: The function f(x) of the below graph is discontinuous at x = -1 because: a) f(-1) does not exist b)…

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Q: Evaluate the limit 5 + 2x lim 8 – 8x x → 0

A: We haven the function is: f(x) = (5 + 2x)/(8 - 8x)  Dividing the numerator and the denominator by x…

Q: Use l’Hôpital’s rule to find the limits

A: The expression limx→03x-12x-1. We have to find the limit of this given expression by using…

Q: c) lim -4e-x

A: c) limx→∞-4e-xlimx→∞-4ex

Q: Find the limit or show that the limit does not exist. lim→-0 4x2 + 3x + 2x x→-∞

A: See the details solution in below

Q: Find the limit. lim x → 2− e3/(2 − x)

A: To find the limit of the function

Q: 6 Find the value of a such that 2x2 - ах — 14 lim х-1 х2 — 2х — 3 exists, What is the value of the…

A: The limit of a function at a point 'a' in its domain is the value that the function approaches as…

Q: 3 - If lim f(x) = 3.5 and lim,-2+ f(x) = 6.5 the function has a double sided %3D limit or one sided…

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Q: Investigate the one-sided limits graphically: (a) lim x→2# x – 2 (b) lim x→0± x2 (c) lim In x x→0+

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Q: Find the limit. lim(v² + x = x) = lim( Vx2 + x – x

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Q: Find g'(x) for g(x)=-x^2+3x+2 by using the limit definition of a derivative.  lim x-->0…

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Q: Evalvate the limity lim -> 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.