Part A: The equation must be divided by the number next to the variable. So 5x will be divided by 5 which will equal x, and 30 will be divided by 5 which equals 6. The final answer will be x=6.
Part B: The equation will have one solution because there is only one way to solve it.
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