Answer:
b. 1/2
Step-by-step explanation:
lim (x -3)(x +2)
x-->-∞ ---------------
2x^2 + x +1
= lim (x^2 -3x +2x - 6)
x-->-∞ -----------------------
2x^2 + x +1
= lim (x^2 -x - 6)
x-->-∞ -----------------------
2x^2 + x +1
When we plug in x = -∞, we get indeterminate form.
Now we have to use the L'hospital rule.
d/dx (x^2 - x - 6) = 2x -1
d/dx (2x^2 + x + 1) = 4x + 1
Now apply the limit
lim (2x - 1) / (4x + 1)
x--->-∞
Here we have to degree of the numerator and the denominator of the same. In this case, if x --> -∞, we get the result as the coefficient of the leading term as the result.
According to the rule, we get
= 2/4
Which can simplified as 1/2
The answer is 1/2
Hope this will helpful.
Thank you.
Result: 1 2/3 : 4 3/8 = 821 ≅ 0.3809524 ... subtraction fractions: 2/3 - 1/2 • multiplying a fraction by another fraction - multiplication: 7/8 * 3/9 ... multiplying a fraction by a whole number: 6 * 3/4
Answer:
(a) -3
Step-by-step explanation:
The value of f(x) approaches 3cos(π) = -3 as x approaches π from either direction. The limit is -3.
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<em>Additional comment</em>
The fact that the function is defined to have a different value at x=π simply means there is a jump discontinuity there. The function is <em>not continuous</em>, because the limit and the function value differ. That doesn't detract from the fact that there is a limit, and it is -3.
Answer:
3 years and 5 months
I think
Step-by-step explanation:
11-4=7
7/2=3.5
Pls mark me brainlist
Answer:
15%
Step-by-step explanation:
Divide 750 by 5000 to get 0.15, which is 15%
