A. Given: lim f(x)=-9 lim g(x)= 2 2. lim[3h(x)–6] 4. lim[f(x)- g(x)+ h(x}] lim h(x)=4 x→8 x→8 x→8 1. lim[2/(x)–12g(x)] 3. lim[g(x}#(x)– f(x)] x→8' x→8 x→8 x→8

Q: 2J(x) g(@) lim (h(x))² - f(x)g(æ) +1

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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: Let f(x) = 2/(2 – x) and g(x) = 8/(4 – x²) Find lim [f(x) –- g(x)] 7. a.

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Q: g(x)= 7 lim x→7 √g(x)

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Q: If lim f(x) = 19 and lim g(x) = 23 then x5 x5 lim (3 f(x)9(x) – 5] = x5 O 38 O 1311 O 172 O 1306 O…

A: Given:       limx→5f(x)=19      limx→5g(x)=23   then  limx→53f(x)g(x)-5 is…

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: x²+4x-12 4. f(x) = x-2 2.1 2.01 2.001 2 1.999 1.99 1.9 f(x) lim f (x) = x→2

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Q: Let lim h(x) = 6p, lim k(x) = 5 and lim m(x) = 7+p. Solve for p if x-a h(x) lim x-ak(x)m(x) 39 x-a…

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Q: 3. (a) Differentiate the function f(x) = x2 from first principles.

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Q: If lim f(x) = 16 and lim g(x) = 24 then x8 lim[3f(x)g(x) – 7] = O 1159 O 1152 O 1145 O 216 O 32

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Q: Find lim f(x). X→-6 lim f(x) = X→-6

A: We need to find limx→-6-fx

Q: 2. lim_f(x) = x--5 -5.001 |-4.999 || -4.5 f(x) |-11.1 | –11.001 | –10.99 | –10.2 -5.5

A: From the table we see that: At x=-5.001, f(x)= -11.001 At x=-4.999, f(x)= -10.99

Q: x2 + 8x + 15 if x 2. lim f(x). x→2+ Find 15 20 30 35

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Q: If lim f(x) = 11 and lim g(x) = 26 then x→6 lim[3f(x)g(x) – 6] x→6

A: We first distribute the limit…

Q: Suppose lim f (x) = l and lim g(x) = m, then lim (2f(x) + 3g(x)) = 2l + 3m.

A: We have to show given problem:

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

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Q: 10- In parts (A)-(C), find the indicated quantity for y = f(x) = 5- x. f( - 1)- f(- 2) (A) (-1)-(-2)…

A: Given the function simple put the value of (-1) and (-2)  find the value of y and put it on that…