13 Sep '08 18:18>2 edits
hello,
here is the question
Find the Limit of sin2x/sin3x as x approaches 0
i have it started:
start by breaking it up
sin2x*( 1/sin3x)
(3x/2x)*(sin2x)*(1/sin3x)*(2/3)
(2/3)*(sin2x/2x)*(3x/sin3x)
(2/3)*(1)*(3x/sin3x)
in the next step, am I allowed to assume that the limit of (3x/sin3x) is the recipricol of the limit of (sin3x/3x) = 1/1=1, or am i missing another manipulation?
here is the question
Find the Limit of sin2x/sin3x as x approaches 0
i have it started:
start by breaking it up
sin2x*( 1/sin3x)
(3x/2x)*(sin2x)*(1/sin3x)*(2/3)
(2/3)*(sin2x/2x)*(3x/sin3x)
(2/3)*(1)*(3x/sin3x)
in the next step, am I allowed to assume that the limit of (3x/sin3x) is the recipricol of the limit of (sin3x/3x) = 1/1=1, or am i missing another manipulation?