3. a) Find the following limits. (Don't use L'hôpital Rule.) |x+3| x+3 |x+3|| lim x-3x+3 =? x-1 x-1 √x+3-2 b) lim =?

Q: If 4.x 9 <f(x) < x² - 4x + 7 for x 0, find lim f(x).

A:

Q: 8x² - 4x + 9. Suppose f(x) = Evaluate: lim f(x) x→-2 =

A: We have to evaluate the limit of f(x) as x tends to -2

Q: 2. Explain what it means to say lim f(x) does not exist. Again, be sure to explain the concepts!!

A: Given :limx→3fx does not exist

Q: to if iz fx) < x (x)_ +4x+4,for allx, find Lim f(x)

A:

Q: V6 - 5x , x > -1 Determine lim x-2 wheref ( x %3D 2x2 - 5x , x < -1

A:

Q: Find the limits of the functions lim メ>- (6lim x 2. xペー 2x+4

A:

Q: f(x) If f(x) = 3x? + 4x +1 and g(x) = x² - 2x - 3, then what is lim *19(x)

A:

Q: Find the lim f(x) if, for all x > 13, 7x – 3 < fx) < 7x² + 4x

A: Given : 7x-3x &lt; fx &lt; 7x2+4xx2

Q: 2 lim_x(x²) +0+x

A:

Q: What is the definition of lim f(x)?

A:

Q: 7-8

A:

Q: x2-x-6 lim x-2 x2-4 Vx+2-2 lim x-2 x-2 Vk+3-V3 lim k-0 k

A:

Q: Use the definition of limit of a function to findlim x3 −3x−2. x→2 x2 −3x+2

A: Limit x tending to 2 = 9.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: x² +2 if 03 a. lim f(x) b. lim f(x)

A: Function f(x) = x2+2 if 0≤x≤3 and f(x) = 2x+5 if x&gt;3 To find lim x→3− f(x) lim x→3+ f(x)

Q: Find the limit lim h→0 lim h→0 f(−9 + h) — f(−9) h f(-9+h)-f(-9) h if f(x) = 829 - 6x².

A: To find the limit , if .