- #1

nycmathguy

- Homework Statement
- Use properties of limits to find the limit.

- Relevant Equations
- N/A

Use the properties of limits to find the limit.

lim [x(x − 1)(x + 10)]

x→−1

lim [x(x^2 + 9x - 10)]

x→−1

lim [x^3 + 9x^2 - 10x]

x→−1

lim (x^3) + lim (9x^2) - (10x)

x→−1 x→−1 x→−1.

(-1)^3 + 9(-1)^2 - 10(-1)

-1 + 9 -(-10)

-1 + 9 + 10

-1 + 19 = 18

The limit is 18.

You say?

lim [x(x − 1)(x + 10)]

x→−1

lim [x(x^2 + 9x - 10)]

x→−1

lim [x^3 + 9x^2 - 10x]

x→−1

lim (x^3) + lim (9x^2) - (10x)

x→−1 x→−1 x→−1.

(-1)^3 + 9(-1)^2 - 10(-1)

-1 + 9 -(-10)

-1 + 9 + 10

-1 + 19 = 18

The limit is 18.

You say?