2. Write the equation of a function that is discontinuous at x=5, but lim f(x) exists, and is finite. Verify your solution fits these criteria.

Q: SOLVE BY LIMIT DEFINITION x-1 d) limx→3 6-2x

A: To find: Value of the limit, d limx→3x-16-2x

Q: Find the limit analytically: 2-4x lim 40 5+3x 1.

A: Solution is here

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A: Given limit is We will use the factorization method to evaluate the limit By using the result that…

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A: To evaluate: limx→05x+9-3x which is in 00 form. So, the L'Hopital rule is to apply.

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A: The functions whose graphs can be drawn without lifting the pencil off the paper is a continuous…

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A:

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A:

Q: find the limit of g(x) as x approaches the indicatedvalue.

A: Given,          limx→25x4+2gx=∞

Q: 2. Write the equation of a function that is discontinuous at x=5, but lim f(x) exists, and is…

A:

Q: If 2x – 1 < (x) <x² for 0 < x < 3, find lim f(x)

A: The solution of above question is written below.

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A:

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A: Find the limit

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A:

Q: 8. e 1 Build a table to estimate lim x+0 X

A:

Q: ; Be h(x) = - 2x + 1, x + 3 calculate lim h(x) 7,x = 3 x-3

A:

Q: Evaluate in terms of the constant a.

A: We have to find the limit in terms of constant a: limx→02a+x This is determinate limit so we need to…

Q: 1 Ask for the answer to limx(1– e* ).

A:

Q: If √5 − 2x^2 ≤ g(x) ≤ √5 − x^2 for −1 ≤ x ≤ 1, find limx→0 g(x)

A:

Q: Suppose a is a constant and if x> 3 f(x) = {x? if 2 <x< 3 x+a ifx< 2. (i) Find lim f(x). X+2+ (ii)…

A:

Q: Evaluate in terms of the constant a. lim (2a + x) x→ 0

A: To Determine:  Evaluate in terms of the constant a.…

Q: If 3x – 1 0, find lim f(x). X→3

A: Given query is to find the indicated limit.

Q: If you know in advance that lim f (x) exists, can you determine its X+5 value from a plot of ƒ for…

A: Given that limit of f(x) exists at x=5.That means the function f(x) is continuous and differentiable…

Q: Find the limit as x approaches - 2 for the function f(x) = 12x + 1. %3D lim (12x+1) = X→-2

A:

Q: Estimate the limit numerically. x+14x + 49 lim x+7

A:

Q: Determine the following limits at infinity. lim x-6

A: We have to determine the limit: limx→∞x-6 We know that a-m=1am1∞=0

Q: If 2x 0, use the Squeeze Theorem to find lim g(x).

A: Given that : as per squeeze theorem

Q: In a model of the nervous system, the intensity of excitation of a nerve pathway is given by I = E[1…

A: Given  that: I=E1-e-a(S-h)E

Q: 16. If f(x) = 2x – 1, what is lim x+h h B. - С. —2 D. 2 NIN

A:

Q: 2. lim (e* – 1)lnx X0+

A:

Q: lim X+2 マーX į =

A: We have to do simplification first.

Q: 2x-1 2. lim X-2 \3x+4,

A:

Q: Please find the limit (in terms of the constant a).

A: it is given that

Q: 1 Use a plot of f (x) = 4 Vx - 2 to estimate lim f(x) 4 メ→4 | numerically.

A: Given: f(x)=1x−2−4x−4Estimate:limx→4f(x)=?Graphically  and  Numericallly

Q: Show that 16x4+9y12 lim (x,y)→(0,0) 4x²+3y6 does not exist.

A:

Q: If 3x – 2 s f(x) < x² - 3x + 7 for x 2 0, find lim f(x). X3

A: 3x-2≤f(x)≤x2-3x+7

Q: Find the indicated limit 2x lim(- VX +1 X>00

A: This question is related to limits, We will solve it using given information.

Q: lim (In 2x + 5) + 4 X→ー1

A: Solution:limx→-1ln2x+5+4=ln2-1+5+4

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: 1+3x-1 2. lim x-0

A: We have to find the limit .

Q: find the lim as x approaches infinity when f(x)= (1-x)/2x

A:

Q: 1. Use a table of values to estimate the limit correctly to the nearest hundredth. x' - 3x? +2x –- 6…

A: Please see the answer below.

Q: Find the limits of the functions below a) limx-3 x* sin x b) lim,

A: We can find the limit of both the question as below.

Q: 1 Ask for the answer to lim x (1 – e * ).

A:

Q: Find the limits of the functions below a) limr-3 x* sin x b) lim,

A:

Q: Determine the following limits at infinity. lim x-11 xS-0

A: limx→-∞x-11

Q: Find lim at inf: (x^2 + 2x)/(x - 7) Don't use L'H

A:

Q: Determine the following limits at infinity. lim x12

A: Evaluate: limx→∞ x12

Q: 1 lim \3 Vx + 9/

A: Rationalization of an expression is done to remove the radical expression from the term. For…

Q: Determine a reasonable estimate for lim hx x-1 3 -5 -4 -3 -1 3 5 2. 1 4. 1. 1. 2. ee

A:

Q: Determine the following limits at infinity. f1x2 xSo g1x2 lim if f1x2 S 100,000 and g1x2 S 00 as x S…

A: Given information: The function f(x) approaches 100,000 and g(x) approaches infinity as x approaches…