Let Sn(x)= nx/(nx+1)

Compute the pointwise limit of Sn on [0,1].

Is the convergence uniform?

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- February 20th 2008, 06:51 PMcowgirl123pointwise limit?
Let Sn(x)= nx/(nx+1)

Compute the pointwise limit of Sn on [0,1].

Is the convergence uniform? - February 20th 2008, 07:15 PMJhevon
point-wise on [0,1] where

all we did was to take the limit as

Is it uniform? there are several ways to attack this.

what do we know about the limit of a uniformly continuous function?

we could also use the definition for uniform convergence

we could also check to see whether or not in which case it is uniformly convergent if it is 0