limit of a sequence

How do I find the limit of a sequence: (1^n+2^n+…+n^n) /n^n, as n → ∞?

01/21/19

The sum of the first n terms , Sn of a progression is given by Sn=5n-n^2 .

How to find in terms of n, the sum of the first (n-1) terms , Sn-1 . Then how to find in terms of n, the nth term, Tn, of the progression and prove that the progression is an A.P.

01/01/19

Implicit Differentiation?

Find y = f(x) by solving the differential equation dy/dx =2xy with the initial condition f(0) = 2

01/01/19

If f(x) = x^3+x , and a = 10 find (f^-1)'(a) =

12/31/18

Binomial and geometric experiments

She will roll a die five times, and wants to know the probability of getting exactly two threes. Define the variables: Probability of success(rolling a three), probability of failure (rolling... more

12/31/18

Math apex 9.6.4

She plans to roll the die until she gets a three. What's the probability of getting her first three on her fifth roll? Define the variable for finding the geometric probability distribution,... more

12/30/18

Find the Cartesian equation of x= 2cosecθ y= 2cotθ

I really don't know how to start with this one. Any help appreciated.

12/30/18

Probability Question regarding sets

I have 3 sets of cards all mixed together. Set A has 60 Cards. Set B has 15 Cards. Set C has 90 Cards. Adding those together, there are 165 total. What is the probability of getting the... more

12/28/18

A Gymnast on a Rope

A gymnast of mass 61.0 kg hangs from a vertical rope attached to the ceiling. You can ignore the weight of the rope and assume that the rope does not stretch. Use the value 9.81m/s2 for the... more

12/23/18

Math lagrange multiple

The material for a rectangular box costs RM 3 per square foot for the bottom and RM 2 per square foot for the sides and top. Find the dimensions of the container so that its volume is 12 cubic feet... more

12/21/18

Slope of line passing through origin and tangent to circle.

If a line passing through origin touches the circle x2 + y2 - 6x + 8y + 9 = 0, then its slope may be : (1)12/7(2)-12/7(3)24/7(4)-24/7

12/21/18

Probability and p&c

7 white balls and 3 black balls are placed in a row at random. The probability that no two black ballsare adjacent, is(A) 2(B) 7/15(C) 2/15(D) 13

12/20/18

HELP WITH PRECALC DECIBELS QUESTION

Formula given: dB=10log(I/Io) where Io is the intensity of a sound that can barely be perceivedQ: A cat's purr is 25 decibels. If the sound of a lion roaring can reach an intensity that is 790 000... more

12/17/18

What’s the Surface Area and Volume formula for an equilateral triangular prism

Pls help me. I’m in ap calculus and I need the equations

12/15/18

Need help with law of sines and cosines word problems!!

Tom, Dick and Harry are camping in their tents. If the distance between Tom and Dick is 153 feet, the distance between Tom and Harry is 201 feet and the distance between Dick and Harry is 175... more
1

12/11/18

What 5 letter word has 6 left when you take 2 letters away

the ANWSER has to have the letters R, I, S, T, N, H, D, E, F, X

12/10/18

Algebra equation

Rose spent $2.40 on pens. If each pen had cost 4 cents more, she would have been able to buy 10 fewer pens for the same money. How many pens did rose buy ?I'm having trouble writing this equation.... more

12/09/18

Simple three way calculation

Three roommates share household supplies and split the costs. Each buys items and adds the items to the ledger. At the end of the month they reimburse each other for expenses on the ledger.Adam... more

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