(04.01 LC) 2174 Evaluate (5 points)
1 answer:
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#1
- The limit tends to 0
- Hence c=0
- Here limit tends to 1
- Hence c=1
- Here x tends to infty.
- c=infty
For the fourth one limit also tends to zero
Answer:
Step-by-step explanation:
<u>Rational Numbers</u>
A rational number is any number that can be expressed as a fraction
for a and b any integer and b different from 0.
As a consequence, any number that cannot be expressed as a fraction or rational number is defined as an Irrational number.
Let's analyze each one of the given options
The first part of the number is indeed a rational number, but the second part is a square root whose result cannot be expressed as a rational, thus the number is not rational
The second part is an exact square root (resulting 4) but the first part is a known irrational number called pi. It's not possible to express pi as a fraction, thus the number is irrational
The square root of 121 is 11. It makes the whole number a sum of a rational number plus an integer, thus the given number is rational
As with the first number, the square root is not exact. The sum of a rational number plus an irrational number gives an irrational number.
Correct option: