Question

Which of the following functions is continuous at x = 3?

Answer 1

A.
B.
C.
D

Answer 2

D.all are continuos at x = 3

Answer 3

hint:
the subsequent function:
\[\Large f\left( x \right) = \frac{{{x^2} - 9}}{{x + 3}}\] is continuous at the subsequent set:
\[\Large \left\{ {x \in {\mathbf{R}},\quad x \ne - 3} \right\}\]

Answer 4

A is correct answer

Answer 5

isint c right too though?

Answer 6

no

Answer 7

Ah. I thought I misunderstood this. nevermind XD
But yeah don't pick functions that are fractions because it causes restrictions and discontinuity.

Answer 8

I'll demonstrate why A is correct...

use difference of square formula for the numerator