Determine if lim f (x) = f(c). Write YES if limf(x) = f(c), otherwise NO. Show your proof 1. f(x) = x* – 2x2 – 3; c = 0

Q: Vx² + 8 – lim x-1 =? x+1

A: We have to find limit

Q: lin

A:

Q: Show that lim(5x+2)=-18 x-> -4

A:

Q: Vx+8-3 Evaluate ' lim-1 x+1

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: If 2x - 2s f(x) sx² - 2x + 2 for x 2 0, find lim f(x). x-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: (x3 - 3x2 +6- 2x) 10. Use a table to estimate lim X-+3 X- 3

A: Given limx→3 x3-3x2+6-2xx-3-1

Q: Ex: Find lim, 3f(x) if f(x)%3D x-1 13x-7 x > 3

A:

Q: Vx² +4 - 2 Find lim x->0

A: Consider the given limit limx→0x2+4-2x So, limx→0x2+4-2x=00   Apply L'Hospital's rule:…

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

A:

Q: x2 + 8x + 15 if x 2. Find lim f(x). x-2+

A:

Q: Find lim,x - Vx²+ 2

A: To find the limit

Q: 5x' +8x² lim x→0 3x* – 16 r? 3

A: Cancel out the common factor from numerator and denominator than put the x and calculate limit.

Q: V9x2 + 4 96, lim x-0 6x +1 X00

A: Solve the limit

Q: 1) Evaluate lim -12. 3 9-x2 -3 Show every step.

A: lim  (-12)*(-x - 3)*3/(9 -x2 ) x-> -3 here 0/0 form so we use law hospital rule diffrentiate…

Q: Find Vx² + 8 – 3 lim x--1 x +1

A:

Q: sec 2x Q3. Find the lim,0 3x csc2x

A:

Q: Evaluate lim f1x2 and lim f1x2 using the figure. xS-00 yA y 5 f(x) 210 10 23+

A: Consider the given graph as

Q: Jx²+2 Lim X-7 3x -6

A:

Q: b. Find lim (xvx²+1-x²)

A: Here, we take common x.then multiply denominator and numerator by √(x^2+1)+x

Q: 1-x? 2. lim 3x +1

A: We have to find the limit of given function lim x→∞ (1-x^2)/(3x+1)

Q: If 3x – 2 s f(x) sx² - 3x + 7 for x2 0, find lim f(x). x-3

A:

Q: Find lim (V + 1 - Vĩ).

A: To find the limit

Q: x8 – 1 lim x-1x5 – 1

A:

Q: Зх + 5 3 lim 6х — 8

A: Given limx→∞(3x+56x-8)13

Q: Vx+1-2 Find lim X-3 x-3

A: Given: A limit: Substituting x=3 in the limit we get, Since 0/0 is an intermediate form so we can…

Q: r2 + 8r + 15 if r<2 if z 2. if a <2 Let = f(x) 4x +7 lim f(x). I-2+ Find

A: