Infinite limit of absolute value

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The discussion focuses on finding the limit of the absolute value function as x approaches negative infinity. The limit is expressed as lim_{x→-∞}|x|. It is noted that as x becomes increasingly negative, the absolute value |x| equals -x. Therefore, the limit can be evaluated as lim_{x→-∞} -x, which approaches positive infinity. The conclusion is that the limit of the absolute value of x as x approaches negative infinity is positive infinity.
tsumi
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Homework Statement



i just want to know one value that i can't find anywhere, and would love some help

Homework Equations



<br /> \lim_{x\rightarrow\ -\infty}|x|}

The Attempt at a Solution


thanks
 
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If you look at the graph of y = |x|, the limit is pretty obvious.
 
As x goes to -infinity, it must be negative! For negative x, |x|= -x. What is the limit \lim_{x\rightarrow -\infty} -x?
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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