Math Is Fun Forum

Yes you did!;) Vast coverage!

Having using L'Hopital's Rule Once

Hi

By the way, I don't quite agree with Ricky's corroboration in post 6
It is like advocating - Let's define it 1, for the continuity sake!
If that makes sense, how about we define 0[sup]0[/sup] as 0 (for the continuity of 0[sup]x[/sup]), or as 1 (for the continuity of x[sup]0[/sup])?

So the algebra reason should be the essential one, and you can refuse it so long as you would like  use the second approach in post 9 all the time.

I know you mean no x multiplied doesn't make sense. But x^0 makes sense sometimes. Still you have the right to deny it.

Well, in the end I cannot help but treat sinx and xcosx as x+x+o(x)

The Ancient Greeks

Veda's(?) Law:
a=-(x1+x2) b=x1 x2

Proof (Incomplete)
If the solution is x1 and x2,
the equation must be able to transform into this form:
(x-x1)(x-x2)=0
<=>
xx-(x1+x2)x+(x1)(x2)=0
so
xx-(2+3i+2-3i)x+(2+3i)(2-3i)=0

It is supposed to be concerning some famous theorem :lol

you want results so early that you pass on essential mid procedures. You should name the important points first, otherwise other people may not understand you.
The second one, the solution is:
name the points like this
  A       C
       E
B          D

Apparently, <AEB=<CED
Since <BAD <BCD are facing the same arc (BD)
<BAD=<BCD
Thus △AED is similar to △CED
AE:CE=BE:DE
10:2=4x:8
2(4x)=10(8)
x=10
4x=40

Congratulations, Ricky! Since now you could figure out logic clearly using verbal logic!

Basically you are right, in many fields determinism is sheer fallacy. Beyond principles and laws exist many exceptions. For instance, nothing is absolutely insulate. Physics is one of the few fields where scientist could find laws that interpret reality so well. Other fields, like social science, are subject to uncertainty. The man could have restrain from killing, or could have killed more.

Some psychologists emphasise the many causes behind the killing only to improve their knowledge. According to an extreme view, every crime is the result of society. But that's too irresponsible regarding our common sense. And paradoxy as well-since society is formulated by individuals, how can you regulate a society without regulating its members?

Usually I get a IQ of 120. Once I got a 136, but that doesn't count, for the average is 109.

8 7 6 5

eg: 2 out of 3-A,B,C
AB
AC
BA
BC
CA
CB
3*2=6