If + 1for all positive x-values, then what is lim f(x)? X- 4

Q: Evaluate the limit. 3 -2 lim x>1 3 x - 1

A: Given- limx→1-3x3x-2x-1 To Find- The value of the limit.

Q: If 4x - 9  ≤f(x) ≤ x2 -4x +7 for x ≥ 0  , find lim x->4 f(x) .

A: We apply limit on all the sides of the given inequality.

Q: Find the lim f(x), if it exist where 3x X 5 f(x) = 2x-1

A:

Q: If x3 f(x) s x for x in [-1,1], find lim f(x) if it exists. X-0

A:

Q: then

A: The given statement is False.   The detailed solution is as follows below:

Q: Find the limit, if it exists.

A: To find the limit limx→-∞ 3x2x+5

Q: Find lim 1+ (if it exists) X→ 00

A: Solving the problem by finding the limit.

Q: If 4.x 9 <f(x) < x² - 4x + 7 for x 0, find lim f(x).

A:

Q: Consider the piece -wise function h): = (x)4 x²-2x +3 for x 2 Find lim hx) Find is h«) Contiouous?…

A:

Q: Find limx-&gt;∞,if for all x&gt;5

A: We apply limx-&gt;∞ on all sides.

Q: Find the limit (if it exist).

A: Given,

Q: If 3x < f(x) < x³ + 2 for 0 < x < 2, find lim f(x). x-1

A:

Q: If lim f(x) = 7 and lim g(x) = -2, find the following. x→ 5 X→5

A: Since, we have been given limx→5f(x)=7 and limx→5g(x)=-2(a)…

Q: If 2x – 1 < (x) <x² for 0 < x < 3, find lim f(x)

A: The solution of above question is written below.

Q: What is lim f(x)? X-1

A: Given graph: To Find: limx→1f(x)

Q: sqrt(5-2x^2)0 f(x).

A: This question we can solve with the help of sandwitch theorem-

Q: Find the limit. x!000 lim x→+0 et

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: Find the one-sided limit

A: Given: limx→2+ xx-2 To Find: To evaluate the given limit.

Q: Find lim f (x) where 3 -{ * if a+3 if a = 3 f (1r) =

A:

Q: Find the indicated if it exists: lim x to 8;  2x2+3x+1 divided by x4 - x2

A: To find the limit if exists

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: If the lim f(x)-7/x-5 as x approaches 6 = 1, find lim f(x) as x approaches 6.

A: First we use the substitution property of limit and substitute 6 for x .

Q: Find lim h(x), if it exists. f(x) = 7x2 + 2x + 3

A:

Q: If 3x – 1 0, find lim f(x). X→3

A: Given query is to find the indicated limit.

Q: Find the limits

A: Given that limx→0 1x-1+1x+1x. Compute the limit as follows.

Q: if f(5) = 4, f'(5) = 7, then lim of (f(x²+1) -4)/(x²-4) = ?? when x goes to 2

A: Please see the answer below.

Q: If 2x 0, use the Squeeze Theorem to find lim g(x).

A: Given that : as per squeeze theorem

Q: if x 3 If f (x)

A:

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

A:

Q: Given: f (x) = -3x2 - 1 Find: lim, 1 (f (x))

A:

Q: If 4x ≤ g(x) ≤ 2x4 − 2x2 + 4 for all x, evaluate lim x→1 g(x).

A: Now,

Q: Suppose that lim 2f(x) + 3x – 15 = 5. Find lim f(x)

A:

Q: Find. 1) a. lim f(x) and b. lim f(x). 3- 4-

A: Answer and explanation is given below..

Q: If f(x) = 22 +1, then find lim f(x)-f(0)

A: Given, f(x)=2x2+1 ∴ f(0) = 0+1 = 1

Q: find the one-sided limit ( if it exists)

A: The given limit is,

Q: Consider the piecewise function x² +2x- 1, if x < -2 -x +1, if - 2 < x < 1 x² + 1, if x 21 f(x) =…

A:

Q: Find the limit. lim x²xx+5)) x(x5) 3. 1.

A: We need to evaluate the following limit limx→0-3x2x+5

Q: . What is the point discontinuity of the x² – 1 lim x→-1 x +E 1

A:

Q: If -a2 + 6x – 7 < f(x) < 2x – 3 for all r, find lim f(x). Cite any relevant theorems used.

A: Given that,  -x2+6x-7≤fx≤2x-3 To determine limx→2fx. By the algebra of limits, If gx≤hx  then…

Q: If /10 - 7x sf(x)s/10 -x for -15xs1, find lim f(x). x-0

A:

Q: Use the –δ definition to prove that lim x→1 (3x + 5)/2 = 4.

A:

Q: Suppose f(x) = x2 if x ̸= 2 and is undefined at x = 2. The domain is (−∞,2)∪(2,∞). Find lim f (x).…

A: The limit exists at x tends to 2 for f(x). First of all, consider the condition for the limit to…

Q: Find the one-sided limit. lim (2x + 7) X→-4+

A:

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

A:

Q: What is the lim f(x) where f(x) = {x" + 10x+24, if x -3 %3D X-3 A. 0 В. 3 С. 12 D. DNE

A: Given: fx=x2+10x+24, x≤-3-x, x&gt;-3   As we know that; The limit limx→afx exists when the left-hand…

Q: What conclusion about f(x) can be drawn from the equation lim-a+f(x) = f(a)?

A: Given that limx→a+f(x)=f(a)

Q: Find the limit lim x →∞ √1+ 2x + 9x² -2x + 5

A: This question is related to limits, we will solve it using given information.

Q: If lim x) - 2 x-1 x - 1 DNE lim f(x). = 7, evaluate

A:

Q: If 3x-35f(x) < x²-3X+6 for X z0, find. lim f(x)

A: