limits question (1 Viewer)

Hermes1 · Jul 24, 2011

find:

$\lim_{x\to 0}\sin\frac{\pi x^{\circ}}{x}$

can i also get an explanation. tnx.

Shadowdude · Jul 24, 2011

x's cancel leaving sin(pi) which is constant for all x.

So that limit is sin(pi) which is 0.

Is that... it?

Hermes1 · Jul 24, 2011

Shadowdude said:
x's cancel leaving sin(pi) which is constant for all x.

So that limit is sin(pi) which is 0.

Is that... it?

no im pretty sure that not it, this was a 3 mark question

Shadowdude · Jul 24, 2011

Is that a degree symbol next to the 'x' or a zero?

Hermes1 · Jul 24, 2011

Shadowdude said:
Is that a degree symbol next to the 'x' or a zero?

its a degree symbol

AAEldar · Jul 24, 2011

Shadowdude said:
x's cancel leaving sin(pi) which is constant for all x.

So that limit is sin(pi) which is 0.

Is that... it?

Definitely can't do that.

Is the question typed correctly? Or is it:

$\lim_{x\to 0}\frac{\sin(\pi x^{\circ})}{x}$

?

deterministic · Jul 24, 2011

x is in radians so:
$x^\circ = \frac{\pi x}{180}$
Then substitute so x cancels to get limit

Hermes1 · Jul 24, 2011

deterministic said:
x is in radians so:
$x^\circ = \frac{\pi x}{180}$
Then substitute so x cancels to get limit

oooooooooohhhhhhhhhhh. tnx for that.

Shadowdude · Jul 24, 2011

AAEldar said:
Definitely can't do that.

Is the question typed correctly? Or is it:

$\lim_{x\to 0}\frac{\sin(\pi x^{\circ})}{x}$

?

I thought it could've been a typo.