Given that lim f(x) = 2 ,lim g(x) = -4 ,lim h(x) = 0 %3D %3D xa xa Find the limit lim[h(x) – 3g(x)+1]

Q: (a) lim [f(x) + 3g(x)]

A: Given:  limx→2  fx=1,  limx→2  gx=-2,  limx→2  hx=0 To Find:  limx→2  fx+3gx=?

Q: Given f(x) = 1|. x + 1 x + 1 Find: lim x→4¯ f(x)

A:

Q: (2) Use the definition of limit of a function to find lim x³-3x-2 x+2x2 - 3x+2

A: To find the limit of the function x3−3x−2x2−3x+2 as x approaches 2, it can apply the definition of…

Q: f(x) – 3 If lim = 1, find lim f(x). X- 2 X→7 x→7

A:

Q: Define diffeomorphish between two manifolds and Completly explain why any linear map fiM_N. between…

A:

Q: Let f(x) = 5 and g(x) = 3x + 1. Use the definition above to verify the following limits:

A: We have to verify the result: a  limx→7 fx=5b  limx→4 gx=13 Where function is given that: fx=5,…

Q: suppose cX) is valued function on such that f?E R Faib] Does it fallows bounded real taib] that…

A: In the given question given that f(x) is a bounded real valued function on [a,b] then we have to…

Q: find f(x) and a lim [3(2+h) ³+27-14 h=0 h

A: find f(x) and a :use the formula , limit definition of derivative :

Q: Find lim g(x) where x→1 x + 1 if x # 1 g(x) if x = 1

A: given,

Q: Find lim f(x) if f (x) = 3Vx + 2 x 2 %3D X-2 Determine the intervals where the function given in…

A: Given f(x=3x+2x<2x2+2x≥2

Q: How to solve this equation y'''-4y''+2y'-8y=6e^(x) - x^(2) + 1 using Methods of Undetermined…

A: Given: Given differential equation is y'''-4y''+2y'-8y=6ex-x2+1 We will solve this equation using…

Q: If lim f(x)=-2 and lim g(x) = 2, what is the value of lim [f (x)+2g(x)]?

A: Given, limx→afx=-2  and  limx→agx=2

Q: If lim f(x) = 4, what can you say about ƒ(1)? x-1

A:

Q: Suppose f: IR→IR is a moNotonically increasing funckian, = 0 , then fioo = 0 6) Give an example of a…

A: Answer for sub question a: Suppose f:ℝ→ℝ is a monotonically increasing function and suppose…

Q: f²(x) x-2x³-f(x)* 2. Suppose that limf(x) = 5. Compute lim x-2

A:

Q: Find the limits.

A: The limit of the function is the value at which the arguement tends to a particular value. This…

Q: f(x+h)-f(x) vi) lim h→0 where f(x) h

A: That's easy. Thumb up. Have a good day!!!

Q: f(x) – 5 a. If lim 3, find lim f(x). X-2 X-2 x - 2 f(x) – 5 b. If lim I-2 x - 2 = 4, find lim f(x).

A: a.…

Q: If f(x) = Vx² + x – x, find lim f (x), where f(x) is defined at X → 0.

A:

Q: Assuming that lim f(x) = 6 and lim g(x) = 4, calculate each limit. %3D 1+3 (a) lim(f(r) – 29(r)) (b)…

A: Given limits - limx→3 f(x) = 6limx→3 g(x) = 4(a)limx→3 f(x)-2g(x) = limx→3 f(x) - 2limx→3 g(x) =…

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: Find lim f(x) and lim f(x) for I-2 x² + 2x I < -2 Vr + 2 4x – 2 2<I f(x) = -2 < x < 2 -

A: Topic- limits

Q: (g) lim rV bx (h) lim (1+4) *

A: You have asked two unrelated questions in the same post. I have addressed the first one. Please post…

Q: f(x)=(1-2x)/x, find lim f(x) approaches 3 and limit f(x) approaches 4

A: Given that the function is,

Q: Find lim f (x) if, for all x, 9 cos (4x) <f (x) < 8x2 +9. lim f (x) = %3D

A: The given inequality is: 9 cos(4x)≤f(x)≤8x2+9

Q: 2f(x) ) lim x→2 g(x)

A: Given: Limit equations is given.

Q: (3х + 3с if x >2 Let f(x) = {x2 - cx if x < 2 If lim f (x) exists, find the value of c. X-2

A: Limit of a function exist , when both sided LHL and RHL exist.

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.