For the following exercises, determine whether or not the given function f is continuous everywhere...f(x) = tan(x) + 2

For the following exercises, determine whether or not the given function f is continuous everywhere. If it is continuous everywhere it is defined, state for what range it is continuous. If it is discontinuous, state where it is discontinuous.

f(x) = tan(x) + 2

Expert Solution

A function is said to be continuous in an interval if it is defined for every value within that interval.

Consider the following function:

f(x) = tan(x) + 2

For the function f(x) = tan(x) + 2, x ≠ π/2 + kπ where k is an integer.

So the function is not defined at x = π/2 + kπ.

Hence the function f(x) = tan(x) + 2 is discontinuous at x = π/2 + kπ.

And, the function f(x) = tan(x) + 2 is continuous for the interval (-∞, ∞) – (π/2 + kx).

The function f(x) = tan(x) + 2 is continuous for the interval (-∞, ∞) – (π/2 + kx

Junaid answered 1 year ago

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Question

For the following exercises, determine whether or not the given function f is continuous everywhere...f(x) = tan(x) + 2

Solutions

Expert Solution

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