(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

What must hold true for a function to have a tangent at the origin.

Eg. Given f(x) = 0, x = 0

and f(x0 = xsin (1/x) x does not equal 0

will the graph have a tangent at the origin?

2. Relevant equations

3. The attempt at a solution

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# Tangent at the origin

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