Evaluate the following limits for h(x) 6x + 1, I < 6 7. T, T> 6 and Justify your answer. (0 lim h(r) (i) lin h(t) (iii) lim h(r) (iv) justification Answer%D Limitlexits Limit does notexits

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: 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: 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: Vx + 4 – 2 Use a table of values to estimate the value of the limit of lim f(x) f(x) ERSIT 2.

A:

Q: Evaluate lim h→0 Answer: f(4+h)-f(4) h where f(x) = 7x + 1.

A: Topic:- application of calculus

Q: x-2 22. Evaluate lim x+2 Vx2-4

A:

Q: Jx +3 Find the limit. If it doesn't exist, explain why. lim x->9 x-9

A: limx-&gt;9x+3x-9

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

A:

Q: x + 2 x²-4 For the function f(x)=- lim, f(x) find the limits.

A:

Q: If 3x-35f(x) < x²-3X+6 for X z0, find. lim f(x)

A: