Question

lim as x goes to 0:
(2sinxcosx)/2x

Answer 1

Can you break that up into a product?

Answer 2

And simplify it a bit. There's an important limit you should know that makes this easier.

Answer 3

not certain

Answer 4

=1

Answer 5

Yes, but why.

Answer 6

i just crossed out and used teh rules

Answer 7

sinx/x and cosx/x

Answer 8

not quite right.

Answer 9

whoops the cosx is wrong

Answer 10

\[{2(sinx)(cosx) \over 2x}\]\[={(sinx)\over x}(cosx)\]

Answer 11

The limit as x goes to 0 of cos x is 1. The limit as x goes to 0 of sinx/x = 1. So the whole limit is 1*1 = 1.

Answer 12

i see cos of zero is 1

Answer 13

thank you!