4. Given f(x) { x² +6, if x < 1; 5x + 3, if x 1. In the following, if a limit does not exist, state DNE, ∞, -∞, whichever is most appropriate. (a) Find lim f(x). x 2 (b) Find f(1), lim_ f(x), lim f(x), and lim f(x). x+1+ x→1

Q: f (x) 4 2. (2, 2). -6 -4 -2 2 6. -2 -4 -61 4.

A: Given query is to find indicated limit.

Q: Find each of the given limits, if they exist. Justify your responses (in other words, don't just…

A: In the given question the limits of the question has to be determined if they exist.

Q: Let f(x) = -5 Do the following. ex e (a) Evaluate the limits: lim f(x) and_lim_f(x). x→1+ x18 (b)…

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A:

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

A:

Q: lim f(x) f(c)

A:

Q: 3. Find the limit of +2x+3 lim X-2 V x+5

A: As per Bartleby guidelines, we will solve only first question To find the limit of limx→2x2+2x+3x2+5

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

A:

Q: (x-2)f(x) 1+2 2x -5x +3x-2 2. Given that lim = 3, evaluate lim f (x). 3. Evaluate the following…

A: