
Re: Sequence limit
Posted:
Oct 4, 2013 8:36 PM


Mohan Pawar <GoogleOnly@mpclasses.com> wrote in news:37c7ee893448439582c41a8f3b039173@googlegroups.com:
>> The only thing that disturbs me about this is that >> > you're an "Instructor." > > I am sorry if my being instructor disturbs you.
"Disturbs?" My classes are full of students who've been misled by incompetent "instructors" who say things like "Anything to the zero power is 1", which those kids bring to university and use to make my job 10 times harder.
>However, if error/s in > _my solution_ disturb you, show me at which one of the 4 steps you > found an error and I will help you.
You're going to help me? Calculus is a freshman class and one topic (arguably the MAIN topic) of calculus is dealing with indeterminate forms. Not only do you not know how to deal with them, you didn't even recognize one at hand. Further, you going to let the exponent of the expression go to zero, while somehow holding the rest of the expression back?
Worse, you don't know enough trig to realize that sin(x) is zero infinitely often, which means that sin(x)^(1/x) is zero infinitely often. So not only do you not know calculus, you don't even know trig. If you have a high school diploma, you shouldn't. And most certainly you shouldn't be an "instructor" of math/physics when you don't know any math or physics.
> If you plot a simple graph of y= sin x^(1/x), you won't be able to > say that "the value of sin x^(1/x) is zero infinitely often".
See those little spikes in your graph? Zoom in on them. The more you zoom in, the closer they are to zero. Maybe instead of a "simple" graph, you could have tried using calculus techniques to create the graph and find the coordinates of the cusps...?
>> So the that limit can't be 1. > > This is your conclusion based on wrong assumption that "the value of > sin x^(1/x) is zero infinitely often". I don't see any logic in it.
This is my correct concuclusion based on logic. It was the logic I gave in the previous post. And above.
So why is it that the most condescending people are always the most clueless, oblivious, least trained and just plain stupid? Why do they usually make those people into deans?

