A vertical asymptote is a line that the graph of the function does not cross.
If: $\lim_{x \to a} 3 cot (1/2 x)-4 =$ +/- ∞
then the line x = a is a vertical asymptote.
For x = 0:
f ( 0 ) = 3 * cot 0 - 4 = ∞
For x = +/- 2 π :
f ( 2 π ) = 3 * cot π - 4 = - ∞
Answer:
A ) x = 0 and C ) x = +/- 2π

5 0

3 years ago

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What is the greatest common factor of 19x7 and 3x5?

Gemiola [76]

The greatest common factor of two numbers is, as the name suggests, the greatest integer that divides both numbers.

You number are already factored in product of primes, so it is obvious that the first number 133 = 19x7 is divisible by 1, 7, 19 and 133.

The same goes for 15 = 3x5: it is divisible by 1, 3, 5 and 15.

As you can see, there is no non-trivial divisor which is common to both number, so the answer is 1

7 0

3 years ago