Answer
$\lim\limits_{x \to 6}$ 3 = 3
for any value 'c' that x is going to approach, value of function f(x) will be 3 so, we can set epsilon = 0 and so is the delta = 0.
Work Step by Step
limit of a constant is equal to the constant. So,
$\lim\limits_{x \to 6}$ 3 = 3
Proof using epsilon and delta:
given function is constant.So, for any value of x, f(x) = 3. It is just a horizontal line given by y = 3. So, for any value 'c' that x is going to approach, value of function f(x) will be 3 so, we can set epsilon = 0 and so is the delta = 0.
