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What does Infinity Minus Infinity Equal? Properties of Infinity Addition with Infinity Infinity Plus a Number Infinity Plus Infinity Infinity Minus Infinity Multiplication with Infinity Infinity by a Number Infinity by Infinity Infinity by Zero Division with Infinity and Zero Zero over a Number A Number over Zero A Number over Infinity Infinity over a Number… About | i think it is 0 since your basically doing infinity minus infinity but im not too sure about this. After all, any number subtracted by itself is equal to zero, however infinity is not a real (rational) number. RapidTables.com | 3. The ln of minus infinity is complex--the principle value is pi times i plus infinity. This is intuitive, because as you divide 1 by very very small numbers, you get very big numbers. Rather, as x approaches infinity, ln x diverges (that is, ln x increases without bound) Note: infinity is not a number, rather it is a direction (as something INCREASES without bound), so infinity is Not in the Domain of any real or complex function. For example: S. stapel. Natural logarithm (ln) rules & properties. Irrational Functions Multiply and divide by the conjugate. Ask Question Asked 6 years, 10 ... (x+1)}= \lim_{x\to\infty} \ln\frac{3x}{x+1} =\lim_{x\to\infty} \ln\frac{3}{1+1/x}=\ln3 share | cite | improve this answer | follow | edited Feb 11 '14 at 22:48. answered Dec 2 '13 at 17:14. ln(x) is not defined for real non positive values of x: © Privacy Policy | The natural logarithm of zero is undefined: ln(0) is undefined. The opposite case, the natural logarithm of minus infinity is undefined for real numbers, since the natural logarithm function is undefined for negative numbers: lim ln(x) is undefined x → -∞ So we can summarize. thanks Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. Rational Functions Reduce to a common denominator. Terms of Use | Often, particularly with fractions, l'Hôpital's Rule can help in cases where one term with infinite limit is subtracted from another term with infinite limit. ln(∞) = ∞ ln(-∞) is undefined . lim ln(x) = ∞ x→∞ x approaches minus infinity. So the ln of negative infinity is the ln of negative 1 (pi i) plus the ln of infinity (infinity). The limit near 0 of the natural logarithm of x, when x approaches zero, is minus infinity: Ln of 1. This website uses cookies to improve your experience, analyze traffic and display ads. The answer booklet says it's 1. Lv 7. Suppose the logarithm of infinity is infinity. Ln of negative number RapidTables.com | negative numbers: © Ln of 0. May 2008 1,300 0 York, UK Aug 20, 2009 #3 What is ln| infinity-1| - ln| infinity + 1|? for real numbers, since the natural logarithm function is undefined for Active 2 years ago. 2. Aug 20, 2009 #2 Are you allowed to use l"Hospital's Rule? The opposite case, the natural logarithm of minus infinity is undefined for real numbers, since the natural logarithm function is undefined for negative numbers: lim ln(x) is undefined x → -∞ So we can summarize. Here is my work: Ln of negative number ln(infinity/infinity) Ask Question Asked 2 years ago. Ln of infinity. Any advice and explanation will be appreciated. The log of a times b is log a + log b. What is the natural logarithm of Since infinity is not a number, we should use limits: The limit of the natural logarithm of x when x approaches infinity is x approaches minus infinity. Now let's turn our attention to limits at infinity … infinity: The opposite case, the natural logarithm of minus infinity is undefined