Trigonometric Limits

           Recently in 2 Unit Maths we have looked at some special limits involving Trig Ratios.  Although these are quite simple to evaluate, I have proven a result that could potentially make the process a lot easier.  To cut a long story short, halfway through the exercise in the text book I came up with this:

                              lim asinbx = lim (c .asinbx).ab

                              ^x>0    cx        ^x>0 (ab   cx    )  c
                                                = lim (sinbx).ab

                                                    ^x>0 (  bx  )  c

                                                = 1x (ab/c)

                                                = ab/c

          So, we can simply take the product of the two constants on the top and divide by the constant on the bottom!