Find lim h(x), if it exists. f(x) = 7x2 + 2x + 3

Q: Vx² + 8 – lim x-1 =? x+1

A: We have to find limit

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

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: 2x+12 |x+6| If f(x)=- , determine whether lim f(x) exists. 44-6

A:

Q: x²-4x+4 1. Find lim- 2 x+x-6

A: Part 1,

Q: x* +x² – 1 limx→c x²+5

A:

Q: 2. Find lim 7x+5

A: limx→∞7x+5x2-4x=limx→∞x(7+5x)x2(1-4x)=limx→∞(7+5x)x(1-4x)

Q: Stlon If f(x) = 6x³ 7x – 3, what is lim f(x)? – -

A:

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: 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: 2r – 5x²/x Find lim x5/2 – 3x +1 — Зх + 1 X- 00

A:

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: 2x2-3x Find lim х-4 4x3-8х+13-

A:

Q: 3x - 7x x-0 2x - 15x d. lim

A: The aim of the problem is to evaluate: Concept used:Indeterminate forms often appear when dealing…

Q: Find lim 2-0 -x-1 x²

A:

Q: a lim 6. *a Jx- Ja -x

A:

Q: Evaluate lim(2x3 – 3x + 1) x-3

A: Topic - limits

Q: b. Find lim (xvx²+1-x²)

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

Q: Find lim (V + 1 - Vĩ).

A: To find the limit

Q: x8 – 1 lim x-1x5 – 1

A:

Q: Find lim h-0 f(5+h)-f(5) h if f(x) = -2x-1.

A: