Why is 0 times infinity indeterminate? Zero is so small that it makes everyone vanish, but infinite is so huge that it makes everyone infinite after multiplication. In particular, infinity is the same thing as "1 over 0", so "zero times infinity" is the same thing as "zero over zero"...
Why infinity is equal to two times infinity? Explain why: a. \int^1_{-1} x^n dx = 0, when n is a positive, odd integer, and b. \int^1_{-1} x^n dx = 2 \int^1_0 x^n dx when n is a positive, even integer.
Similarly, lack of a unique limit for 0^0 does not imply that 0^0 is undefined. (Hmmm, I thought I’ve read a number of times that limits are always unique!) The “indeterminate form” 1^oo is simply being used as a sensible symbol or label for the category of limits where the ...
If lim_{x \rightarrow 0^-} f(x) = - \infty and lim_{x \rightarrow 0^+} what is li Why are real numbers important? Why do you use an '\times' instead of a dot in scientific notation? What does the notation \frac {dy}{dx} mean in calculus? Explain why the compos...
is that the present discounted value of its terminal financial wealth be non-negative in the limit as the time horizon goes to infinity: lim a ( s, v )e − v ∫t ( r ( u )+λ )du ≥ 0 v→∞ ___ 4 The notational convention is that k (s, v) ≡ ∂k (s, v) ....
Why is thelimx→31x−3nonexistent and not zero? Limits: We have a function that contains a linear term. We will find the right hand limit and the left hand limit by applying the limits. If the limits are equal then the limit exists or else it does not. ...
Without using a calculator, explain why you know that 22 is greater than 2, but less than 4. Logic: It is important to remember that mathematics is based firmly upon the foundations of logic. In order to determine some truth about a mathematical ...
Why does it go from division to multiplication suddenly? Inverse: Division by definition is multiplication by the reciprocal (or multiplicative inverse). That is,ab=a⋅b−1 As a consequence, any fraction in the form of1acan ...
Use x = e^y to explain why \dfrac{d}{dx}(\ln x) = \dfrac{1}{x}, \text{ for } x \gt 0. Why/how does the exponent of 1/2 mean the square root? Explain. Why infinity is equal to two times infinity? Explain how the fundamental theorem of c...
worlds theory, even if it is arguably the mathematically most straightforward realist reading of quantum formalism, even if it is arguably local and deterministic, is not universally regarded as the best realist quantum theory because it provides a type of explanation that is not universally accepted...