Question

Verify the continuity .

Answer 1

In the field of electronics, a continuity test is a technique to check and verify the current flow in the electric circuit between two paths.

Answer 2

Step 1: Draw the graph with a pencil to check for the continuity of a function. If your pencil stays on the paper from the left to right of the entire graph, without lifting the pencil, your function is continuous. In other words, if your graph has gaps, holes or is a split graph, your graph isn’t continuous. If you aren’t sure about what a graph looks like if it’s not continuous.
Step 2: Figure out if your function is one of the following types: a power function, exponential function, logarithmic function, polynomial function, rational function (the ratio of two polynomial functions), the function ex or a trigonometric function sin(x) or cos(x). If it is, then there’s no need to go further; your function is continuous.

Step 3: Check if your function is the sum difference, or product of a continuous function listed in Step 2. If it is, your function is continuous. For example, sin(x)*cos(x) is the product of two continuous functions and so is continuous.

Step 4: Check quotient functions for the possibility of zero as a denominator. The quotient f(x)/g(x) of continuous functions is continuous at all points x where the denominator isn’t zero.