Re: topology ans sequences

use the fact that the rationals are dense in the reals to find the answer for this,,,

Let f:R→R be a continuous function such that f(q)=sinq for q∈Q (rational numbers). Find the value of f(π/4).

Re: topology ans sequences

Re: topology ans sequences

no not about pi.i need a rational function that converges to pi/4

Re: topology ans sequences

I have this idea...to find f(π/4) we need to pick a sequence xn→π/4 and investigate what f(xn) converges to....will that be ok for this???

Re: topology ans sequences

Quote:

Originally Posted by

**chath** no not about pi.i need a rational function that converges to pi/4

The example I gave was meant to be suggestive of how you could construct a rational sequence for

Think about it a minute. Each of those, each term in the sequence, is rational, and their limit goes to .

So can you think of a different-but-related sequence of rationals whose limit goes to

Re: topology ans sequences