limit as x approaches 7 of (x+7)/(x-7)
Compute the limit of x + 7x -7 as 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 forward 7 on the number line: 7 + 7 = 14
⇥ 14
ⓘ 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 evaluate: 7 -7
⇥ⓘ Start from 7 and move back 7 on the number line, down to zero: 7 -7 = 0
⇥ 0
From the left, the limit is -∞; from the right, it is +∞. They differ: the limit of x + 7x -7 does not exist when x → 7
▶Limit:   undefined