limit as x approaches 0 of 9x^2-2x+5
Compute the limit of 9x2 -2x + 5 as x → 0
The limit of x2 is 0⁺ when x → 0
ⓘ The limit of a product of finite limits is the product of the limits
The limit of 9x2 is (9·0)⁺ when x → 0
⇥Let's evaluate: 9·0
⇥ⓘ A product with a zero factor is zero: 9·0 = 0
⇥ 0
ⓘ The limit of a product of finite limits is the product of the limits
The limit of -2x is -2·0 when x → 0
⇥Let's evaluate: -2·0
⇥ⓘ A product with a zero factor is zero: 2·0 = 0
⇥ 0
ⓘ The limit of a sum of finite limits is the sum of the limits
So the limit of 9x2 -2x + 5 is 5 when x → 0
▶Limit:   5