(solution) Find all values of x at which f(x) = 2/(1 + sin x) fails to be

(solution) Find all values of x at which f(x) = 2/(1 + sin x) fails to be

Find all values of x at which

f(x) = 2/(1 + sin x) fails to be continuous.

1. x = n? +?2, all integers n

2. x = (2n + 1)?, all integers n

3. x = 2n? +?2, all integers n

4. x = n?, all integers n

5. x = n? +3?4, all integers n

6. x = 2n?, all integers n

7. x = n? +?4, all integers n

8. x = 2n? +3?2, all integers n

The function f (x) = 2
(1+sin x) fails to be continuous when the denominator is equal to 0. So (1 + sin x) = 0 implies sin x = ?1.
This further implies that x = 2n? +
Hence f (x) = 2
(1+sin x)…