一道英文数学题目,求解~
Fortwoconsecutivemultiplesof4,thelargernumberislessthantwiceofthesmalleronebyatleast1...
For two consecutive multiples of 4, the larger number is less than twice of the
smaller one by at least 16. Find the minimum values of the two numbers. 展开
smaller one by at least 16. Find the minimum values of the two numbers. 展开
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Horizontal: y = 9/2
Vertical: x = -5/2
When x approaches -5/2 from the left (x < -5/2), 9x - 3 < 0, 2x + 5 < 0, f(x) > 0 and approaches infinity. When x approaches -5/2 from the right (x > -5/2), 9x - 3 < 0, 2x + 5 > 0, f(x) < 0 and approaches negative infinity. So x = -5/2 is its vertical asymptote.
When x approaches infinity or negative infinity, the limit of f(x) is 9/2, which is its horizontal asymptote.
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Vertical: x = -5/2
When x approaches -5/2 from the left (x < -5/2), 9x - 3 < 0, 2x + 5 < 0, f(x) > 0 and approaches infinity. When x approaches -5/2 from the right (x > -5/2), 9x - 3 < 0, 2x + 5 > 0, f(x) < 0 and approaches negative infinity. So x = -5/2 is its vertical asymptote.
When x approaches infinity or negative infinity, the limit of f(x) is 9/2, which is its horizontal asymptote.
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