Round all answers to 4 decimal places where pos a. What is the distribution of X? X - U( then the sampling distribution is b. Suppose that 40 classes are clocked. Wha c What is the probability that the average o

Q: Evaluate the limit or explain why the limit does not exist

A: our objective is to find the limit.

Q: Limits of quotients Find the limits in Exercises 23–42.

A: 23)  Given  Here factors of denominator is x2 -25 = (x-5) (x+5)  Cancel out the (x-5) factor  Now…

Q: lim Vx +x+1 x- - X-∞

A:

Q: Describe the form of the limit. Does l'Hopital's rule apply? 4sin ax lim X1 x - 1 The limit is of…

A: Given: limx→14 sin πxx-1   L'Hopital's rule: limx→cf(x)g(x)=00 or ±∞∞ then…

Q: 2. Determine if the following limits exist. Justify your answers. (Rez) (Imz) (b) lim z→1+i z = x +…

A:

Q: lim iff lim

A: Note: The given hypothesis are incomplete as un should be non negative, that is un≥0. For counter…

Q: L'Hôpital loophole Explain why l'Hôpital's Rule fails when sinh x applied to the limit lim -and then…

A: limx→∞sinh xcosh x

Q: lim Find the limit: (2-3)(z²+9) (2-31)

A: This question is about to evaluation of limit.

Q: " (Sum Rule): Suppose f: ℝⁿ → ℝᵐ and g: ℝⁿ → ℝᵐ are functions, and let a ∈ ℝⁿ and b, c ∈ ℝᵐ be…

A: I think you know the definition:

Q: 2 lim (√√x² + 1 -√√x + 1) X x →∞

A: By using L'Hospital's rule to evaluate the following limit.

Q: x = a = x + x²y y=b-x²y. Here a, b 0 are dimensionless parameters and x, y> 0 are dimensionless…

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.