Calculus Answers

Activity in Limit Theorems

Directions: Assume the following.

lim f(x) = 3/4;

x→c

lim g(x) = 12;

x→c

lim h(x) = -3;

x→c

Compute the following limits.

1. lim (4 • f(x))

x→c

2. lim (g(x) - h (x))

x→c

3. lim √12 • f(x)

x→c

4. lim (g(x) + h(x)) / f(x)

x→c

5. lim (f(x) + h(x))

x→c

Activity in Limit Theorems

Directions: Assume the following.

1. lim f(x) = 3/4

x→c

2. lim g(x) = 12

x→c

3. lim h(x) = -3

x→c

Activity in Limit Theorems

Directions: Assume the following.

1. lim f(x) = 3/4

x→c

2. lim g(x) = 12

x→c

3. lim h(x) = -3

x→c

Activity in Limit Theorems

Directions: Assume the following.

1. lim f(x) = 3/4

x→c

2. lim g(x) = 12

x→c

3. lim h(x) = -3

x→c

Activity in Limit Theorems

Directions: Assume the following.

1. lim f(x) = 3/4

x→c

2. lim g(x) = 12

x→c

3. lim h(x) = -3

x→c

Activity in Limit Theorems

Directions: Assume the following.

1. lim f(x) = 3/4

x→c

2. lim g(x) = 12

x→c

3. lim h(x) = -3

x→c

The tangent to the curve 𝑦 = 2𝑥²− 5𝑥 + 6 at the point (2,4) intersects the normal to the same curve at the point (1,3) at point 𝑄. Find the coordinates of 𝑄

Consider the function, f(x)=2x³ - 24x² -7. Find the intervals of x where f(x) is

increasing or decreasing.

Find the coordinates of the points on the curve 𝑦 = 3𝑥³ − 2𝑥² − 12𝑥 + 2 where

the normal is parallel to the line 𝑦 =− 𝑥 + 1.

the tangent to the curve 𝑦 = 𝑥² − 5𝑥 − 2 at the point (1,-6) intersects the normal to

the same curve at the point (2, -8) at point P . find the coordinates of P