Question

limit as x approaches 0 of

(sin3xsin5x)/x^2

Answer 1

is that sin(3x) and sin(5x)?

or sin^3(x) and sin^5(x)?

Answer 2

that expression can be written as:

(sin 3x)/x multiplied by (sin 5x)/x

The limit of the first expression as x---> 0 is 3
The limit of the second expression as x---->0 is 5

Therefore, the product is 3(5) = 15

Answer 3

It can be shown that as x---->0, (sin 3x)/x = 3
It can be shown that as x-----> 0, (sin 5x)/x = 5

Answer 4

ok thanks

Answer 5

welcome.