3. Find the indicated limits. if x < 2 if x > 2 f(x) -2+ 4x – x² a) lim f(x) x→2+ b) lim f(x) x→2- c) lim f (x) x→2

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: sec x lim sec(3x)

A:

Q: Suppose lim f(x) = = x→2 1/2 4 -5, find lim x→2 x²| ƒ(x) + 6 x - 1

A:

Q: (-2x + 3 if x 1 Evaluate the lim f(x) where f(x) x→1

A:

Q: Compute

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

Q: If 3x − 5 ≤ f(x) ≤ x² − 3x + 4 for x ≥ 0, find_lim f(x). x →3

A: given  3x-5≤f(x)≤x2-3x+4for x≥0

Q: If  lim x→1  (f(x) − 8)/(x-1)=2     , evaluate  lim x→1 f(x).

A: Given: limx→1f(x)-8x-1=2

Q: a. Lim x2 + X - 2 X→1 2x2 - x – 1

A:

Q: 1 Let f(x) = 1, 0sx<2 -x2 + 4x- 3, x22 . Compute lim f(x).

A: Topic -limits

Q: Find Lim as attached . f(x) = 3x − 2

A: Consider the provided function, fx=3x-2 Find the limit of the provided function, limx→0fx+x-fxx…

Q: What is the definition of lim f(x)?

A:

Q: (g) lim (x- Vx +x - Vx-x (h) lim 3x²

A:

Q: Find lim f(x). Im f0) -O x-2" X--2" (2.4) (4.3)

A: solution:-left hand limitlimx→2-f(x)=0

Q: 11. Consider the function f(x) = x³-ax²-x+b X+1 lim f(x) exists, determine all value(s) of lim f(x).…

A:

Q: True or false: If lim f(x) = f(a), and x1 is closer to a than x2, then f(x1) is closer to f(a) x→a…

A: The given statements is: If limx→af(x)=f(a)  and x1 is closer to a than x2 then fx1 is closer to…

Q: Use the definition of limit of a function to findlim x3 −3x−2. x→2 x2 −3x+2

A: Limit x tending to 2 = 9.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: If lim H(h) = x and. lim H(h) = y, then find lim H(h3 -h) %3D h-0- h-0+

A: Given limit expressions are limh→0+Hh=x,limh→0-Hh=y.

Q: -2-1 1 2 3 4 5 -2+

A: We have to find the limit limx→4fx

Q: 2f(x) ) lim x→2 g(x)

A: Given: Limit equations is given.

Q: Suppose lim f (x) = l and lim g(x) = m, then lim (2f(x) + 3g(x)) = 2l + 3m.

A: We have to show given problem: