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Q. Find all metric on a set X consisting of two points.
Q. Show that another metric D on a set S is defined by d(x,y)=∫_a^b▒〖|x(t)-y(t)|dt〗
Q. If A is a subspace of l^∞ consisting of all sequence of 0 and 1. What is the induced metric on A?
Prove shortly that k+d is a metric.
(i) kd is a metric
(ii)(k+d) is a metric