16. Let f(x) = x +3 if x < -1 4-² if x>-1 a) Evaluate the limit. If a limit does not exist, write DNE. lim f(x) i. lim f(x) I--1- b) Sketch the graph of f. ii. +1-+z iii. lim f(x)

Q: Evaluate the limit. limæ→-2 13 이윽 34 53 x+2 x2 +7x+10

A:

Q: 6. Is it true that the limit of a function lim f(c) = L is the same as evaluating a function f(c)?

A: the limit of a function lim f(c) = L is the same as evaluating a function f(c)

Q: Evaluate the limit lim y approaches 5  1/y-1/5 divide by y-5

A: We have to evaluate the limit limy→5 1y-15y-5

Q: Use l'Hôpital's Rule to evaluate the limit. x² - 8x+15 x-3 lim x-3 OA. 6- OB. 14 OC. -2 OD. -5

A: Limx-3(x2-8x+15)/(x-3) Find the limit.

Q: Calculate lim x-2 x+2 Evaluate the Limit

A:

Q: O 8: Evaluate limits of functions from their graphs and/or equations. Find lim f(x), lim f(x), lim…

A: Given, Graph  of the function:

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

A:

Q: Evaluate 1. limit 2. limit = -3 3. limit does not exist 4. limit x+1 lim x⇒−1 x² – 3x − 4˚ 1 5.…

A: Given: limx→-1x+1x2-3x-4

Q: For each item, graph the function f (x). Use the graph to estimate lim f(x), lim f(x), and lim f(x).…

A:

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

A: Given:limx→2-x2x2+4=limx→2- x2limx→2- x2+4=2222+4=48=12

Q: -4 Determine the limit: lim -i (и — 1)2

A:

Q: 8. lim 9. lim x-1 x²-3x-10 x-5 ²-3x-4 10. lim - x-4x²5x+4

A: We have to find the limit if exist

Q: Determine the limits if they exist for the function lim (x,y) → (0,0) 1 – x - y /x 2 + y 2

A: We will find out the required limit.

Q: x - 6x +5 8. lim X5 x- 5 (-5+h)' - 25 10. lim h-0

A: Given: To Find: Value of limit

Q: x³ - 1 lim x→1 x² - 1

A:

Q: Evaluate the limit. lim (4x)/

A:

Q: Find the limit

A: We will find the limit by substitution