query: What is the distribution of the m.g.f. that corresponds to the limit.
positive_passages.docid: 17735
positive_passages.text: $X_n = \text{Bin}(n,\frac{\lambda}{n})$ for $\lambda > 0$. Show $M_{X_n}(t)$ converges to the MGF of Poisson($\lambda)$ as $n\rightarrow \infty$
negative_passages.docid: 18244
negative_passages.text: What is the limit of this sequence? How does it relate to the exponential function?
negative_passages.docid: 99732
negative_passages.text: Interesting limit involving gamma function
negative_passages.docid: 16746
negative_passages.text: Limiting moments and asymptotic moments of a statistic
negative_passages.docid: 80987
negative_passages.text: Limit of Multivariate Probability Density Function as one or more or all variables approach positive or negative infinity
negative_passages.docid: 36399
negative_passages.text: Find the limit of following
negative_passages.docid: 126977
negative_passages.text: How can I know a value of this limit?
negative_passages.docid: 32742
negative_passages.text: The limit of $\frac{|A_n|}{n^2}$
negative_passages.docid: 83863
negative_passages.text: What is the limit of
negative_passages.docid: 133257
negative_passages.text: Find limit of a random variable: $\lim_\limits{s\to\infty} s^n P(|Y| > s)$.
negative_passages.docid: 78869
negative_passages.text: On the justification of the result of a limit utilizing little-o. (quick question)
negative_passages.docid: 63672
negative_passages.text: Understanding a particular evaluation of $\prod\limits_{n=2}^{\infty}\left(1-\frac{1}{n^3}\right)$
negative_passages.docid: 104431
negative_passages.text: Mean of a Cauchy Distribution
negative_passages.docid: 16459
negative_passages.text: Limit of ratios of numbers with $m$ factors and primes
negative_passages.docid: 36648
negative_passages.text: The limit of $((1+x)^{1/x} - e+ ex/2)/x^2$ as $x\to 0$
negative_passages.docid: 55641
negative_passages.text: Distribution of the normal cdf
negative_passages.docid: 57778
negative_passages.text: Convergence in Distribution of the maximum of a sequence.