A company training program determines that, on average, a new employee can produce  N( t) pieces of work per day after  t days of on-the-job training, where  N(t)=(87+42t)/t+6. Find  lim s-9 N( t).

Q: x² + kx – 10 Find the value of k that would make the lim exist. lim X – 2

A: Explanation of the answer is as follows

Q: Find the limit. 2 – 4x². - 9x + 11 lim - 8x + 6x +2 X00 11 OA. 2 ОВ. оо OC. O D. 1 F/N 8

A:

Q: Find the limits in Exercise

A: To evaluate: limx→5-3x2x+10 Solution: limx→5-3x2x+10 On simplifying further we get:…

Q: V2x + 10 + Vx² – 5x + 10 lim - X→-1 x² + 1

A:

Q: Find the limt lim e - x メ→の e-メ

A: Evaluate the limit  limx→∞ ex-x2ex-x

Q: Find lim,00(e3 +2x)/* 1/x

A:

Q: Let ƒ(x) = (x^2 - 9)/(x + 3). a. Make a table of the values of ƒ at the points x = -3.1, -3.01,…

A: Consider the given function:

Q: When demonstrating that lim 4x + 3 = 7 with ɛ = .07 Find the largest value for ɛ that will suffice

A:

Q: lim .2 X → 00 et?

A: Given query is to find the limit of the expression.

Q: Find the limnit L. X - 3 1. lim X4 X- 4

A:

Q: Find the limitsof: lim 34 メ+34 -V34 メしe

A:

Q: If lim, » 1512i (z2 + 30z) = x + iy, what is the value of a

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 ƒ(1) = 5, must limxS1 ƒ(x) exist? If it does, then must limxS1 ƒ(x) = 5? Can we conclude anything…

A: A function f(x) is said to be continuous at a point x = a, in its domain if the following three…

Q: Estimate the value of lim 1 + 3x 1 by graphing the function f(x) = x/(/I + 3x – 1).

A: It is given that limx→0x1+3x-1 It is known that if we have limx→af(x)g(x), and after plugging the…

Q: Find lim (√2-t, et-¹, In(t + 1)) t-0

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: 3. Use L'H rule to find lim (1– 2x)/=

A: From the given problem: limx→01-2x1x Let, y=limx→01-2x1x Now taking log on both sides.…

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

A:

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: Use the e-d definition to show that lim /a = 2. a-b (Hint: Vā – V6 =

A:

Q: x*-a* If lim (108 * T'), find the value of "a". х-а х-а

A:

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: find the limirt lim JK-6 X30 X-36 Give answer to at least three decimalplaces.

A: Put x=30

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

A: It is given that, limt→-3t3-4t+15t2-t-12.

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

A:

Q: V9x² + 1 lim x +1

A: Given : limx→∞9x2+1x+1

Q: lim (In 2x + 5) + 4 X→ー1

A: Solution:limx→-1ln2x+5+4=ln2-1+5+4

Q: Suppose that limx→ -2 p(x) = 4, limx→ -2 r(x) = 0, andlimx→ -2 s(x) = -3. Find lim x→ -2 (-4p(x) +…

A: Given limx→-2p(x)=-4 , limx→-2r(x)=0 and limx→-2s(x)=-3We need to find:limx→-2-4p(x)+5r(x)s(x)

Q: Use the e-8 definition to show that lim VI = 2. Z-14

A:

Q: Use technology to graph f(x) =! and find lim! O -00 O Does not exist

A:

Q: Evaluate the limit 2x + 4 lim I→ 0 3x2 - 7x + 7

A: Given

Q: For which value of n, does the lim- -ny'+16n = 2 y-2 32-ys

A:

Q: For the lim z (6x +) = 4, find the largest & that "works" for e = 0.0032. (Use decimal notation.…

A: Given,                    We have to find del.

Q: B) By using (A), Find lim /-

A: limn→∞1n

Q: Use the e-d definition to show that lim x2 I→2

A: In this question we will use basic of calculus i.e basic of limits. We will simply find the limiting…

Q: 10. lim 2-と is A. -1

A: we have to find the value of the given  limit  lim    x→-∞2-x2x

Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞  4x5…

A: Given, limx→∞+4x5+50x44000x7+3 Dividing x7 on both numerator and denominator…

Q: Find the following: A)) lim x+1 x-3 lim B)) x4 x+1

A:

Q: 4) Find the value of each limit: х* + х —6 а. lim х-я х — 2х-15 x→1 | Vx – 1 lim х—1 х — 1 b.

A: The limit of a function is the value of the function when the arguement of the function tends to a…

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

A:

Q: Evaluate the limit lim x² + 4x – Vx² + x ) and interprete the result in relation to x 00…

A:

Q: The value of the constant k such that x²– kx+6 lim exits is X→1 х—1 б -6 -7 7 -8 8.

A: 1). From the given problem:   fx=2x+14   From the power law:   dxndx=nxn-1.   So,…

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

A:

Q: lim ( 7x 12 6. lim 13B

A: In this question we can find limit . Firstly solve quadratic equation of the numerator and cancel…

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.