Question

Prove: $$c=\frac{c}{1}$$

Answer 1

Are you serious?

Answer 2

Yes.

Answer 3

Always True

Answer 4

c=1/1c

Answer 5

Not a Quadratic

Answer 6

Could use limits.. perhaps.

Answer 7

@skullpatrol

Answer 8

Multiply both sides by \(1\):\[
1c = c
\]Is this sufficient?

Answer 9

You seem to be assuming the statement is true in order to prove it is true.

Answer 10

Like this:\[
\lim_{x\to 1}x = 1=-1
\]

Answer 11

Wouldn't that just be c = c ?

Answer 12

$$\frac{a}{1}=a*\frac{1}{1}$$ because $$\frac{a}{b}=a*\frac{1}{b}$$.

$$1*\frac{1}{1}=1$$ because $$a*\frac{1}{a}=1$$.

$$1*1=1$$ because $$a*1=a$$.

Comparing the two equations above:
$$\frac{1}{1}=1$$.

$$\therefore \frac{a}{1}=a*\frac{1}{1}=a*1=a$$.

Answer 13

Exactly

Answer 14

simple absract algebra !
just define the operation "multiple"
and define the identity "1"

Answer 15

Indeed, multiplicative identity could be made to be zero in the right vector space, for instance.