Question

If lim x → 2 f ( x ) = 7 , then f ( x ) must be continuous at x = 2 . True or False

Answer 1

False

Explanation:

`f(x) = ((x + 5)(x - 2))/(x - 2) = \frac{ {x}^(2) + 3x - 10 }{x - 2}`

This function is not continuous when

x = 2, but as x approaches 2, f(x) approaches 7.