While exercising, a person’s recommended target heart rate is a function of age. The recommended number of beats per minute, y ,
is given by the function y=f(x)=−0.85x+187 where x represents a person’s age in years. Determine the number of recommended heart beats per minute for your age. Show each step in the process of this calculation. x=21
While exercising, a person’s recommended target heart rate is a function of age. The recommended number of beats per minute, y, is given by the function y = f(x) = − 0.85x + 187 where x represents a person’s age in years.
So, if my age is 21 years i.e. x = 21, then the number of recommended heart beats per minute for my age will be
The sequence of functions converges to the function
.
Step-by-step explanation:
The limit exists and converges to zero whenever . But, if the sequence is constant and all its terms are equal to , then converges to . Using this result, consider the sequence of functions defined on the interval by . Then, for all we have that . Now, if , then . Therefore, the limit function of the sequence of functions is
.
To show that the convergence is not uniform consider . For any choose such that . Then