According to the Center for Disease Control and Prevention (CDC), the mean life expectancy in 2015 for Hispanic females was 84.3 years. Assume that the standard deviation was 15 years, as suggested by the Bureau of Economic Research. The distribution of age at death, X, is not normal because it is skewed to the left. Nevertheless, the distribution of the mean, x, in all possible samples of size n is approximately normal if n is large enough, by the central limit theorem. Let x be the mean life expectancy in a sample of 100 Hispanic females. Determine the interval centered at the population mean u such that 95% of sample means x will fall in the interval. Give your answers precise to one decimal.

Q: Find the limit: Limit X-->0   [1/(6+x)]-(1/6) divided by x   Find the limit for the number or…

A: we have to evaluate the limit      limx→0  16+x-16x    Now,  limx→0 16+1-16x=limx→0 16+x-limx→0…

Q: Discuss some of the ways in which estimating a limit from a table can sometimes be challening or…

A:

Q: Sketch a rough graph of x^4 and use it to find the limit at both inf and -inf. Expl how you know.

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Q: Evaluate the limit using L'Hospital's rule if necessary 12 1 + lim

A:

Q: 1. Carefully explain how you know if a limit exists. What must be true about the left sided limit…

A: Given

Q: Explain the Central Limit theorem with proposals

A: We want to define central limit theorem

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Q: If the approach is from the right, the limit is a right-hand limit. True or false?

A: Statement: If the approach is from the right, the limit is a right hand limit.

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A:

Q: Find the limit of  limitx->0= x2+4,

A:

Q: How would this process look should we try to do it via limit definition (IE, (f(x+h)-(fx))/h)?

A: Derivative of g(x) at x=a=limh→0g(a+h)-g(a)h

Q: A/Find the Limit: LimGime)

A:

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A: We have to answer given Questions.

Q: Explain the Central Limit Theorem in your own words.

A: Solution: Here, it is needed to explain the central limit theorem.

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A: The definition of derivative is originated by Limits. Both are mathematical tools both have there…

Q: Im 7.

A: We will find the limit by substitution.

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.