Question

Continuous functions of metric space is
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Answer 1

Answer:

pleas e mention class

Step-by-step explanation:

$1 { {?}^{2} }^{3 \times \div - + {?}^{?} }$

Answer 2

Answer:

If all real-valued continuous functions on M are uniformly continuous, then a metric space (M,d) is said to be uniformly continuous.

Step-by-step explanation:

Let metric spaces (X,d) and (Y,d) exist.

Let the function f: X Y exist.

Definition.

If f(y), f(x) holds true whenever d(y, x) holds true, then the function f is said to be continuous at x X. We state that f is continuous on X if f is continuous for all x X.

A function must meet three conditions to be continuous.

For a function to be continuous at a given location, it must be defined there, have a limit there, and have the value of the function there equal the value of the limit there.

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