Solve : L{eax sin bx}.
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L{eax sin bx}=ab
Given,
limx→0sinax /sin bx
= limx→0sin ax × limx→0 1sin bx
Multiplying & dividing by ax
= limx→0sinax /ax × limx→0 ax /sin
bx1 ×limx→0ax/sin bx
Multiplying & dividing by bx
= limx→0 ax/sinx × bx/bx
= limx→0 bx/sinbx ×ax/bx
= limx→0 bx/sinbx×ab= ab
limx→0 bx/sinbx
= ab ÷ limx→0 sin bx/bx
= ab÷1= ab
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