Limit problems and limit when y is equal to constant number

Graph of trigonometric function

(These examples are not made or owned in anyway by me)

It is the graph of trigonometric function so it should be all curve (it looks like a line in the picture but it is a curve)

y = c is just a horizontal line; Hence, limit as x approaches any number of f(x) is always C.

when y=x, then the limit as x approaches any number (a) of f(x) is always a.

1) when there is a constant multiplying the variable you can take the number out in front and then take the limit of the variable. Its one of the rules that comes in handy later on when you take limits of huge functions.

2) I think it is pretty self explanatory. If not see example.