Answer:
- as written, -2
- with denominator parentheses, 0
- with f(x)=ln(x) and denominator parentheses, -1/2
Step-by-step explanation:
The problem as stated asks for the limit as x approaches 2 of (0/x) -2.
As written, the limit is (0/2) -2 = -2.
<u>Explanation</u>: f(x) is a constant, so the numerator is 0. The ratio 0/x -2 is defined as -2 everywhere except x=0. So, the value at x=2 is 0/2 -2 = -2.
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If you mean (f(2) -f(x))/(x -2), that limit is the limit of 0/(x-2) = 0 as x approaches 2.
<u>Explanation</u>: f(x) is a constant, so the numerator is 0. The ratio 0/(x-2) is zero everywhere except at x=2. The left limit and right limit are both 0 as x approaches 2. Since these limits agree, the limit is said to be 0.
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If you mean f(x) = ln(x) and you want the limit of (f(2) -f(x))/(x -2), that value will be -1/2.
<u>Explanation</u>: The value of the ratio is 0/0 at x=2, so we can find the limit using L'Hôpital's rule. Differentiating numerator and denominator, we have ...
lim = (-1/x)/(1)
The value is -1/2 at x=2.
In your 30° - 60° - 90° triangle, the ratios of the sides are
.. PR : QR : PQ = 1 : √3 : 2
A) QR/PQ = (√3)/2 . . . . . TRUE
B) PR/PQ = 1/2, not (√3)/2 . . . . false
C) QR/PR = (√3)/1 . . . . . TRUE
D) PQ/PR = 2/1, not √3 . . . . . . .false
E) QR/PR (see C) . . . . . . . . . . .false
F) PQ/PR = 2/1 . . . . . . . .TRUE
Answer:
B.60
Step-by-step explanation:
It is twice as the distance hope this helps!!