If lim f(x) = 2, and lim g(x) = 7 find: C→C I-C a) lim 4f(z) A C b) lim ln(g(x))

Q: In Exercises 7-10, find the indicated limit by using the limits lim f(x, y) = 4 and (r, 5) (a, b)"…

A: Given : lim(x, y) → (a, b) f(x, y) = 4lim(x, y) → (a, b) g(x, y) = -5   To find : lim(x , y) → (a,…

Q: Let f(r) be the function defined by a r > 3 f(r) = 1 x < 3, 3' Find the value of a if lim f(x) = lim…

A:

Q: Let f(x) = x² + 3x – 2 f(x) – f(1) a) Find lim x- 1 x+ 1 b) Use your answer in part (a) to find an…

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: Let f(x) = x³ + x² – 6x – and lim (g of)(x). 1 and g(x) = 3. Find lim(f° g)(x) x→4

A: Explanation: Given that,  f(x)=x3+x2-6x-1g(x)=3       Concept Used: Composition of function:…

Q: If 3x − 5 ≤ f(x) ≤ x² − 3x + 4 for x ≥ 0, find_lim f(x). x →3

A: given  3x-5≤f(x)≤x2-3x+4for x≥0

Q: If  lim x→1  (f(x) − 8)/(x-1)=2     , evaluate  lim x→1 f(x).

A: Given: limx→1f(x)-8x-1=2

Q: If 3x – 1 0, find lim f(x). X→3

A: Given query is to find the indicated limit.

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

A:

Q: If lim f(x) = 8 and f(7) = 3, then lim (4f(2x + 1)) = %3D %3D x→7

A:

Q: If 4æ – 11y = 5 is the tangent to f(x) f(x) - f(3) at a = 3, then lim | (A) =! (B) 규 (C) 4 (D) (E) 4…

A:

Q: If f(x) = Vx² + x – x, find lim f (x), where f(x) is defined at X → 0.

A:

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

A:

Q: If lim f(x) = 17 and lim g(a) エー→6 = 29 then lim [3f (x)g(x) – 8] = %3D %3D エ→6 エ→6 O 34 283 1487 O…

A:

Q: C-x= (x)f and g(x) Given:

A: Given that, fx=x-5gx=2x2 Evaluate limx→-3fgx

Q: If 2x – 2 0, find limf (x). x→1

A: We can use the sandwich theorem to solve this question.

Q: The graph of f is given. Use the graph to compute the quantities asked for. (If an answer does not…

A:

Q: 2f(x) ) lim x→2 g(x)

A: Given: Limit equations is given.

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 lim as t approaches 4 of the function ((g(x)-6)/(t-1))=1. Find lim t approaches 4 of g(t).

A: The given function is ((g(x) - 6) / (t - 1))  As limit t approaches to 4 the value of the function…

Q: If 3x − 3 ≤ f(x) ≤ x2 − 3x + 6 for x ≥ 0, find  lim x→3 f(x).

A: Consider the following limit condition: g(x)≤f(x)≤h(x)and iflimg(x)=Lx→alimh(x)=Lx→aThen…

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

A: