Given that f (x )is continuous. f (3 )equals 1, f (1 )equals 6, f (6 )equals negative 2, and f (negative 2 )equals 3. Determine limit as x rightwards arrow 6 to the power of plus of f (x ), and limit as x rightwards arrow negative 2 to the power of minus of f (x ).

Given:

is continuous, .

To find:

The value of and .

Solution:

If a function f(x) is continuous at , then

It is given that the function is continuous. It means it is continuous for each value and the left-hand and right-hand limits are equal to the value of the function.

The function is continuous for 6. So,

The function is continuous for -2. So,

Therefore, and .

853.3

step-by-step explanation: