Beautiful and only a few minutes old

2 new beautiful questions written for the IYGB Special papers

Standard A level knowledge required.

for those bored with the lack of activity

EDIT:
obvious typo in the series the xⁿ should be outside the first set of square brackets
not so obvious typo in the first question: it should read minus between the secant and the cosine

solutions in post 43

(edited 8 years ago)

1.JPG15.2KB

2.JPG22.9KB

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Reply 1

Mayhem™

I can't wait to start sixth form next yea :colonhash:

Reply 2

Johann von Gauss

Original post by Mayhem™

I can't wait to start sixth form next yea :colonhash:

Lol

Enjoy your carefree GCSE year while you can

Spoiler

Reply 3

TeeEm

Original post by Mayhem™

I can't wait to start sixth form next yea :colonhash:

If you pick Maths I hope it is a pleasurable experience.

Reply 4

tohaaaa

Original post by Johann von Gauss

Lol

Enjoy your carefree GCSE year while you can

Spoiler

Your profile picture disturbs me.
1 = 0 * infinity? I THINK NOT XD

Reply 5

Mayhem™

Original post by TeeEm

If you pick Maths I hope it is a pleasurable experience.

I'm taking maths, and all 3 sciences.

Reply 6

Alaska+

Original post by TeeEm

2 new beautiful questions written for the IYGB Special papers

Standard A level knowledge required.

for those bored with the lack of activity

Came in expecting baby pictures....leaving amused.

Reply 7

TeeEm

Original post by Mayhem™

I'm taking maths, and all 3 sciences.

Tough combo
all the best!

Reply 8

Andy98

Original post by Alaska+

Came in expecting baby pictures....leaving amused.

It's TeeEm, how could you expect anything other than maths?

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Reply 9

TeeEm

Original post by Alaska+

Came in expecting baby pictures....leaving amused.

I am sorry to hear that ...
(these for me are just like babies)

Reply 10

Mayhem™

Original post by TeeEm

Tough combo
all the best!

It's the way for future medicine applications :colonhash:

, thanks!

Reply 11

Johann von Gauss

Original post by tohaaaa

Your profile picture disturbs me.
1 = 0 * infinity? I THINK NOT XD

Its there to weed out the mathematical men from the mice

Reply 12

tohaaaa

Original post by Johann von Gauss

Its there to weed out the mathematical men from the mice

I see....

Reply 13

TeeEm

Original post by tohaaaa

Your profile picture disturbs me.
1 = 0 * infinity? I THINK NOT XD

0 "multiplied" by infinity can be any number ( including not defined )
so 1 is possible ....

Reply 14

Student403

TeeEm's love of maths is contagious. I love seeing threads like these :smile:

Reply 15

Andy98

Original post by tohaaaa

I see....

It is a rather complex proof (please don't ask for it because I only vaguely grasp the idea), but it basically takes the idea of dividing 1 by a tiny number to get a huge number. From there it's a simple triangle

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(edited 8 years ago)

Reply 16

Lacesso

Original post by Alaska+

Came in expecting baby pictures....leaving amused.

Came in expecting ratemypoo submission...leaving disappointed.

Reply 17

tohaaaa

Original post by Andy98

It is a rather complex proof (please don't ask for it because I only vaguely grasp the idea), but it basically takes the idea of dividing 1 by a huge number

Posted from TSR Mobile

You mean really small right?

I assume it's something to do with limits?
The limit of 1/x as x --> 0 is infinity.... or something like that.

Reply 18

Andy98

Original post by tohaaaa

You mean really small right?

I assume it's something to do with limits?
The limit of 1/x as x --> 0 is infinity.... or something like that.

Yeah, made a slight boo boo - see the edit :tongue:

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Reply 19

Johann von Gauss

\dfrac {1}{o} = \infty \implies 1 = 0*\infty = 0 + 0 + ... + 0

:P

Though I suspect the different cardinalities of infinite sets makes it a complicated - countable, uncountable, forgotten the name for them (Aleph Null, Aleph One, Aleph Two maybe?)

Original post by tohaaaa

You mean really small right?I assume it's something to do with limits?The limit of 1/x as x --> 0 is infinity.... or something like that.

Yes, people make the mistake of saying well, lets try some some very small number (x) in my calculator.
Oh, 1 over x is very large!
So 1/o must be infinity!

Limits should be taught at least a little at Sixth Form... I quite enjoy the ones I find in STEP and IB papers

P.S. surely whether it tends to zero from + or - direction makes a little difference? :P