for x > 0 Let f x and evaluate the following limit: x- 2 for x < 0 X - lim f( x O A) -2 B) 0 O C) -1 D) Does not exist

Q: 2x2+3x+1 Find the indicated limit if it exists: lim,0 x4-x2

A: We have to evaluate the limit limx→∞2x2+3x+1x4-x2.

Q: 3 Use the Squeeze Theorem to evaluate lim f(x), where f(x)=x²cos (-). x A B C D - 0 0 1 8 -0-x

A:

Q: 2X + 3. lim x→2 X –3 f(x) f(x)

A: Given function f(x)=2x+1x-3we can can find the values around 2 to find the limit at x=2

Q: Exercise 1: Number Heads Together Directions: Evaluate the limits of the following: x2 + x-6 1. lim…

A:

Q: т? — Ох — 16 - - Evaluate the limit: lim x →4 x – 4

A: We need to evaluate the limit limx→4x2-0x-16x-4 Which is equivalent limx→4x2-16x-4…

Q: Q2) Evaluate the limit at x = -2 for: x 1 2x2 4x - 8 S(x) x² - x- 6

A:

Q: lim V3x² – 6 X-2

A: The given problem is,           limx→23x2-6 Here the function is continuous and defined at x=2, so…

Q: values

A: We will find the limits.

Q: f(x): = ax² + x - b, ax + b, 2ax - 7, (a) Find the values of a and b such that f is continuous on…

A:

Q: 3x + 5x – 12 Jx +1-1 e) lim f) lim X+3

A: limit values=?

Q: 7. Find the limit, if it exist x² +2 a. lim xV9 - x? C. im b. lim * x-1

A:

Q: Use the graph of f(x) to find the limit of each: (4 marks) a. lim f(x) x+2+ b. lim f(x) x-2- c. lim…

A: Step 1: Step 2: Step 3: Step 4:

Q: x2 – 4, x 3 -

A:

Q: Find the limits lim (Vr? + 25 – V² – 1) - X00

A: limx→∞ x2+25-x2-1Multiply by conjugates, we get =limx→∞ 26x2+25+x2-1limx→ac·fx=c·limx→afx=26·limx→∞…

Q: a3 + 3x? Question 3. Evaluate the following limit: lim x-3- x2 – x – 12

A:

Q: Find the horizontal limit(s) of the follov

A: Solution of the problem as follows

Q: x²-4 lim x-2 (x-2)² 2–4

A:

Q: Q2 Find the limits of the following functions: 2-V-5 1. lim tan2r 2) lim -1 1-t-2 3) lim X0 tan4x 4)…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: (x +h)² – x² lim h 3 (4+x)

A: See the details solution in below

Q: Evaluating the following limits: Vx+5-V5 a. lim x-0 2x b. lim x-2 x-2 X+1 3 c. lim 3x cot(2x)…

A: Limit of the indeterminate forms

Q: x² 10 - 5 ≤ f(x) ≤ x6-5 x+1 26

A:

Q: Let f be a function defined by f (x) : S4 – x?, x + -3 1. Evaluate l1, x = -3 а. ズ→ー3+ lim f(x) b.…

A: To find out the limits.

Q: Consider the following graph of the function f. X-0 lim f(x) = X→0+ -3 -2 -1 4 3+ True False 2 - + 2…

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Q: 1 if x-1 4. lim x→- 1 5. x f(x) f(x)

A: