(x-1)R(x) Q(x) Q(x)y" + P(x)y' + R(x)y=0.Then the general solution of the form (x- 1)P(x) Q(x) Let lim = 1, and lim for D.E X1 Select one: a.

Q: If lim f(x) = 2 and lim g(x) = 10, then lim[3f(x) – 4g(x)] = −34. x→b x-b x-b True O False

A:

Q: If lim f(x) = 11 and lim g(x) = 30 then lim[4f(x)g(x) – 5] = %3D O 1315

A: To solve limx→94f(x)g(x)-5, use the difference rule of limits, limx→ca(x)-b(x)=limx→ca(x)-limx→cb(x)…

Q: 3r2 +7, r> 2 f(x) = | 5x – 1, r<2

A:

Q: x-9 Q.4 Let f (x)={ x+3 ,x#3 Find the value of k for which limf(x)=f(3). k,x 3

A: Given

Q: Given f(x) = 3 (4-a)3 Evaluate lim→4-f(x) Select one: O A. 0 B. -00 C. +0 D. -1 E. Does not exist

A:

Q: Suppose f(x), g(x), and h(x) are continuous functions such that g(-1) = 4, h(-1)=3 and lim…

A:

Q: If f(x)= 2x² +1, then lim S(x)– f(0) is (A) 0 (B) 1 (C) 2 (D) 4 (E) nonexistent OB OD O C O E O A…

A:

Q: will lim n-00 In(x)dx lim fn(x)dx?

A: Given that, fnx=2n2x;x≤12n2n1-nx;12n&lt;x≤1n0;1n&lt;x where , fnx on 0,1 It is possible to take…

Q: lim (1+ / tan(x² – 3x + 2) X' is :- X2 (A) e (B) 1 (C) e ! (D) e

A:

Q: 1. Find the lim F(t), where sin(3t – 3) F(t)

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

Q: 1 — х b. lim х36 (х — 6)2

A: b) limx-6(1-x) /(x-6) 2 a) limx-5 (x-1 sqrt(3x+1))/(x-5).

Q: x³f(2)-24 If f(x) is differentiable at x = 2 and lim,-2 = 28, then f (2) = %3D x-2 Select one: О а.…

A: B correct

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

A:

Q: = 2 · and g(x) = √x² – 2x +1, then_lim [(ƒ(x) · g(x)] is z→1¹ If f(x) =

A:

Q: According to the Michaelis-Menten equation, when an enzyme is combined with a substrate of…

A:

Q: 5. Find limx→∞ f (X), if it exists. (a) f(x) = log(x² + 2y² + 4z²) x² + y² +2² (c) f(x) = e(x+y)²…

A:

Q: Calculate the difference quotient for f(x) = 5 – x² at a = 4. (Express numbers in exact form. Use…

A:

Q: (x² – 2, x 0, x→0*

A: Given, fx=x2-2,    x&lt;02-x2,    x≥0

Q: In this exercise we investigate the curve et – 1 y = f(x) ez +1 (a) Explain why –1< f(x) < 1 for all…

A: According to our policy at Bartleby, I can solve only three sub- parts. Given a function :…

Q: #1. lim t-tvt 213/2 12 +3t – 5 t→ 00 #2. lim x → - o0 x' +1 #3. lim tan1 (In x) x → 0+

A:

Q: . Is it possible that f(2) = 5 but limx→2 f(x) = 7? If so, what kind of function can satisfy this?

A:

Q: n=18 (n³+5) a. To perform the Integral Test, one should calculate the following improper integral.…

A:

Q: If lim f(x) = 2 and lim g(x) = 10, then lim[3f(x) — 4g(x)] = −34. zb x-b O False True

A: Given statement

Q: Let fn(x) = n²x²(1 – x) on [0, 1]. Does lim,-00 So fn(x) exist?

A:

Q: t3 + 8 . tan(t + 2) Let F(t) j+ (t* – 1) e“-4k , find lim F(t). t+2 t+2 t-2

A: Limit of a vector point function

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.