1) let (f_{n}) be a sequence of real- valued functions that converges uniformly to f_{*} on a set a\subseteq r , where each f_{n} is bounded on a, i. e there exists mn> 0 such that |f_{n}(x)|\leq m_{n} for all x\in a .
a) show that f_{*} bounded on a.
b)show that there exists m> 0 shuch that |f_{n}(x)|\leq m for all x\in a and all n.
c) let (a_{n}) be a bounded real sequence , and denote by a_{n}f_{n} the product of a_{n} and f_{n} . show that (a_{n}f_{n}) has a subsequence which converges uniformly on a.

step-by-step explanation:

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5

what am i looking for finish the question.

step-by-step explanation: