B 7/8 shows division, not multiplication
Answer:
Step-by-step explanation:
To prove: The sum of a rational number and an irrational number is an irrational number.
Proof: Assume that a + b = x and that x is rational.
Then b = x – a = x + (–a).
Now, x + (–a) is rational because addition of two rational numbers is rational (Additivity property).
However, it was stated that b is an irrational number. This is a contradiction.
Therefore, the assumption that x is rational in the equation a + b = x must be incorrect, and x should be an irrational number.
Hence, the sum of a rational number and an irrational number is irrational.
Answer:
4.55
Step-by-step explanation:
Answer:

Step-by-step explanation:
The limit is:

so, you have an indeterminate result. By using the l'Hôpital's rule you have:

by replacing, and applying repeatedly you obtain:

hence, the limit of the function is -1/14