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Show that m=(f)/(u+f) for a lens....

Show that `m=(f)/(u+f)` for a lens.

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By definition, `m=(v)/(u)` so that `v=m u`.
`therefore (1)/(f)=(1)/(v)-(1)/(u)`
`(1)/(f) = (1)/(m u)-(1)/(u)`
`(1)/(f)+(1)/(u)= (1)/(m u)`
`(u+f)/(uf)=(1)/(m u)`
`therefore m=(f)/(u+f)`
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