Limit of (sin (1/x))/(1/x) as x approaches 0

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In this video, we will learn to find the limit of (sin (1/x))/(1/x) as x approaches 0.

Other topics of this video:
Evaluate the limit as x approaches 0 of (sin (1/x))/(1/x)
What is the limit of (sin (1/x))/(1/x) as x approaches 0
How to find the limit of (sin (1/x))/(1/x) as x approaches 0
Find limit of (sin (1/x))/(1/x) as x approaches 0

I, Ravi Ranjan Kumar Singh, have produced this video. All credits of this video belong to me.

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Nice my teacher just said when this happens set 1/x = to theta and then set theta to infinity and you get and you get same thing.
At first I tried L’Hôpital’s Rule but I got lim x—>0 cos(1/x)

alithemathguy

We can even say that 1/x if x tends to zero then 1/x tends to infinity and any nummber divided by infinite comes zero and so sin1/x range is -1 to 1 and being divided by a large amount it will go 0

vishaldebroy

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