The limits involving trig functions have two cases according to the dummy variation: near 0 or near ∞. The answers and the techniques used in these two cases have almost nothing in common. But it’s important to note that we can’t tell what case we’re dealing with just by looking at...
limx→0sin(x)x=? The value of the above limit... Learn more about this topic: Properties of Limits | Overview, Functions & Examples from Chapter 6/ Lesson 5 41K Learn to define what the limit of a function is. Learn to describe the properties of...
Limit and Trig Functions From the graph of trigs functions ( ) sin and ( ) cos f x x g x x = = we conclude that they are continuous everywhere -10 -5 5 10 -1 -0.5 0.5 1 -10 -5 5 10 -1 -0.5 0.5 1 limsin sin and limcos cos x c x c x c x c = = Tangent and...
many algebraic functions can be evaluated by direct substitution. The six basic trig functions also exhibit this desirable characteristic… 15 Properties of Limits Six Basic Trig Function Let c be a real number in the domain of the given trig function. c x c x sin sin lim c x c x...
This was Weierstrass's point when he came up with his wacky non-differential, but continuous everywhere function. If you come up with some wacky function, it's not going to be clear that our intuition applies to it. And wacky functions come up in math, so you have to deal with them....