During the first 4 months of employment, the monthly sales S (in thousands of dollars) for a new salesperson depend on the number of hours x of training, as follows. S = S(x) =  7 x  + 14 +  x 2 ,    x ≥ 2 (a) Find lim x→2+ S(x). thousands of dollars (b) Find lim x→14 S(x). thousands of dollars

Q: x6-4x3 If f (x) = 3-2x²+3' Solve to find lim f(x)?

A:

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: 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: During the first four months of employment, the monthly sales S (in thousands of dollars) for a new…

A: Part (a)S= S(x)= 9 / x + 10 + x / 4, x ≥ 4The given function is defined only for x ≥ 4. We don't…

Q: O Find Lim メー→2 2- (2X 2- x X +2

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find lim x→-∞ ex + 1° (а) — оо (b) ∞ (c) 0 1 (d) 2 Does not exist and has no infinite behavior

A:

Q: Use the graph to solve for z.* := lim f(r) 3 3 f(x) 2. 2.

A:

Q: x³ + x² - x - 1 lim X→1 X-1

A:

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

A:

Q: If lim as f(x)-4/x-3=2 as x approaches 5, find lim f(x) as x approaches 5.

A: We have

Q: If 3x 2 s f(x) s x² - 3x +7 for x 2 0, find lim f(x). x3

A: Given:  3x-2 ≤ f(x) <= x²-3x + 7 for x ≥ 0

Q: Q: find lim \-c०s2 2->০

A:

Q: y? a), lim (xy)-(00) x²+y²

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: Evaluate the limit.

A: Given:                     limx→∞e4x-1-4xx2 Dividing the numerator by highest power denominator:…

Q: f(x)- x3-3y 4 t 3x 315 x²† 10x 4+3x315 x†10x lim カー70 Derivation of

A:

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: 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: During the first 4 months of employment, the monthly sales S (in thousands of dollars) for a new…

A:

Q: Solve for the lim[e* + x]%. x00

A: Given,           limx→∞ex+x1x

Q: 2x? – x +3 compute lim- x>* x - 2x +5

A:

Q: Find the limit 1-ex lim x+0 10x2 – 18x

A: Here we have to use the concept of limit.

Q: If 3x s f(x) sx +2 for 0sxs 2, evaluate lim f(x).

A:

Q: (-x² – 6x–10 xs-2 1. lim g(x), where g(x)={ x>-2

A:

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

A:

Q: lim X+2 マーX į =

A: We have to do simplification first.

Q: De nty. lim Bx+5 6+X6-

A:

Q: Find the limits 2 lim x→0+ x/5

A: Given that limx→0+2x15. As x tends to 0, the denominator of the function 2x15 tends to 0.

Q: Solve without a calculator: lim (x3- 8)/(x2- 4) as x approaches 2.

A:

Q: d) (x+27) -3 X lim-

A:

Q: find the lim as x approaches infinity where

A:

Q: If 3x − 1 ≤ f(x) ≤ x2 − 3x + 8 for x ≥ 0, find lim x→3 f(x).

A: Here we use sandwich theorem Also known as squeeze theoremThis theorem states that , if gx≤fx≤hx in…

Q: Vx-3-V9-x 3. lim X-6

A: Solving the problem by finding the limit of th3 function.

Q: Evaluate the limit. 4x2-9 lim x→3/2 15-10x а. b. lim(x – 2) sec(n/x) | x-2

A: See the details solution in below

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

A:

Q: x-3x-2 limx--1 х+1 ||

A:

Q: If 3x − 3 ≤ f(x) ≤ x2 − 3x + 6 for x ≥ 0, find  lim x→3 f(x).

A: Consider the following limit condition: g(x)≤f(x)≤h(x)and iflimg(x)=Lx→alimh(x)=Lx→aThen…

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

A:

Q: If 3x – 2 s f(x) sx² - 3x + 7 for x2 0, find lim f(x). x-3

A:

Q: If 8x – 19 < f(x) < x² + 4x – 15 determine lim f(x) x→2 What theorem did you use to arrive at your…

A:

Q: If 3-2x sf(x)s3-x for -1sxs1, find lim f(x). lim f(x) =|

A: Calculate left hand limit and right hand limit than find the limit using sandwich theorem.

Q: f(x) – 4 If lim х-з х-2 3, find lim f(x). x-3

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: Find lim f(x) X+ 0-

A:

Q: x2-6x+9 lim x->3 is equal to: x-3

A:

Q: 10. lim is X-- А. со B. -00 С. -1 D. 1

A:

Q: 2 ] (d) lim x-1Lx-1 x2 -1

A: Topic = Limits

Q: Q2: Use lim x 0 and lim x 0 to show that lim x = 0.

A:

Q: 2f(x) + 3x – х — 1 15 - Suppose that lim 5. Find lim f(x).|

A:

Q: H.W x-2x-8 の lim x24 4, メーラ2

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.