00:01
In this problem, we need to discuss the continuity of three given functions.
00:05
Now, all of the three given functions involve the function sign of x and cost of x.
00:13
Now, let us consider sign of x to be the function g x, and let us consider cost of x to be the function h x.
00:21
Now, it is known that the sine function is continuous for all real values of x, hence g of x is continuous.
00:28
Also, the cosine function that is cosyme is cos, is also known to be continuous for all real values of x.
00:36
Hence, hx is also continuous.
00:40
Now, since the sum of two continuous functions will always be continuous, because of that, we will have that the function g of x plus h of x will be continuous.
00:52
And g of x plus h of x will be sine x plus koss x, and this is the given function...