5.x – 3, if r < 1; 30) Let f(x) = Then lim f(x) = and lim f(x) = _. if x > 1. x→1+

Q: lim2

A: Explained below

Q: Let f(z) 2 = = (-)². Show that lim f(z) does not exist. z➡0

A:

Q: If 3x - 4 s f(x) sx2 - 3x + 5 for x 2 0, find lim f(x). x-3

A: Given, 3x-4 ≤ fx ≤ x2-3x+5              for  x ≥ 0 We have to find limx→3fx

Q: b. Find lim (xv (xVx²+1-x²)

A:

Q: IF FLX)= and Lim F(X)6 F(-)=2 b X<l Find a,b when X#0

A:

Q: Evaluate lim h→0 1 2 3(x+h) ² h 1 3x²

A:

Q: If 2x - 2s f(x) sx² - 2x + 2 for x 2 0, find lim f(x). 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: 5. Find lim f(x) f(x) 2 1 i -1 2 -2

A:

Q: f(2 + h) – f(2) Find lim if f(x) = x + 7. h h→0 f(2 + h) – f(2) lim | (Simplify your answer.) h h→0

A: Here I am attaching image so that you understand each and every step.

Q: Sfsin(r – y kýyd . B. (i) Evaluate 00 sVx+1 lim (ii) Evaluate * 4Vx +3

A:

Q: If f(x) = 5x – 4, then f(x) – f(-3) = 5. x +3 lim I-3 Select one: O True O False

A: Answer is true.  Using L hopital rule.

Q: Find 2-Vx2-5 lim X-1 x+3

A:

Q: 1 c) lim x+0 \ex-1 X.

A: the given expression is: limx→01ex-1-1x…

Q: In a Sudoku tournament, 15 people qualified for the final round. If first, second, and third place…

A: Total persons qualified for final round = 15 Number of ways in which first place medal is awarded =…

Q: f(x+h)-f(x) vi) lim h→0 where f(x) h

A: That's easy. Thumb up. Have a good day!!!

Q: V5x+4-3 3) lim X-1 x-1

A:

Q: Find Vx² + 8 – 3 lim x--1 x +1

A:

Q: Evaluate lim h→0 1 2 5 (x+h) ² 2h 1 5x²

A:

Q: If 2x - 2s f(x) S x² - 2x + 2 for x 2 0, find lim f(x) x-2

A: see below the answer

Q: Use the graph of f(x) = X + 2x - x-8) to determine lim f(x) and lim f(x). X→-4 X-2

A:

Q: 2x a. lim x-+3" X - 3

A: limit

Q: 1f. lim (tanx)x x-&gt;0+

A: Given,

Q: (9 + x)-1 – 9-1 8. lim x→0

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Let f(x)=2x+5. Find lim h-0 (f(a+h)-f(a)/h)

A: Topic :- limits

Q: 1. lim x-2 (2x + 3)

A: 1. To find the given limit limx→ 22x+3

Q: 3x(x - : lim Tx - 1| X1+

A: Replace the value of the limit and x.