limit as x approaches 7- of 1/(x-7)
Let's evaluate the limit of 1x -7 when x → 7⁻
ⓘ The limit of a sum of finite limits is the sum of the limits
The limit of x -7 is (7 -7)⁻ when x → 7⁻
⇥Let's calculate: 7 -7
⇥ⓘ Start from 7 and move back 7 on the number line, down to zero: 7 -7 = 0
⇥ 0
ⓘ A nonzero number divided by a quantity that tends to 0 grows without bound, the signs giving +∞ or -∞
So the limit of 1x -7 is -∞ when x → 7⁻
▶Limit:   -∞