limitsWatch

#1
For any k∈ R. Find the limit of,
f(x)=sin(kx)/sinx as x tends to 0

I got the answer is k, I found this by L'Hôpital's Rule. But I was wondering if there was any other way of finding this limit.
0
4 years ago
#2
(Original post by Maths_UoB)
For any k∈ R. Find the limit of,
f(x)=sin(kx)/sinx as x tends to 0

I got the answer is k, I found this by L'Hôpital's Rule. But I was wondering if there was any other way of finding this limit.
Yes, you can write it as [sin(kx)/kx][kx/sinx] and use the algebra of limits since you should know how to work out the limits within the square brackets separately
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