223 Answered Questions for the topic Limits

Limits

06/29/18

f(n)>0 for all n£N
if f(n+1)=1/2( f(n)+(9/f(n)) ) , n€N and f(n)>0 for all n€N then find   lim n-infinity f(n) .
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Limits

06/28/18

prove the question
lim x-o ((sinx/x))^(1/x)  =  1
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Limits

06/27/18

evaluate the limit
lt n-infinity ((q^n) + (p^n))^(1/n)
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Limits

06/27/18

evaluate the following limit
lt x-o( (2x-log(1+2x))/x^2 )
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06/25/18

FInd the 1000th derivative of Ln(x+1)
I am struggling as i know the sequence but got no idea how to describe it mathematically!
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Limits

06/23/18

What is the limit of E=n(1-Q^(1/n)) as n approaches infinity, where Q is a real number between 0 and 1?
I want an answer with Q in it if it depends on it, which I'm quite sure of.
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Limits Calculus 1

06/20/18

The answer to this limit (tan(πx/4)-1)/(sin(πx)) when x->1is -1/2. How to deal with Tan?
lim x->1 (tan(πx/4)-1)/(sin(πx))Answer is -1/2I tried to apply multiply up and down by the numerator conjugate and then don't know how to proceed. Is this even necessary? or is there a step I'm... more
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06/10/18

Find H.A and V.A
f(x)=x^3-1/ x^2-1   there will be no h.a  and for the v.a we factor and we get x=1 and x =-1 
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06/07/18

Points of discountuity
how do we find pointa of discountity of trignometric functions such as tan^-1(5x)   or sec(5x)
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06/06/18

Points of discountity
how do we find the points of discountity of f(x)=8x/5x^2-1?   If i made the denominator =0 i would get squared 1/5 and then when i will plug it back it will be undefined or am i doing it wrong !   more
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06/03/18

Limits at infinity
i am confused, we should divide the whole fractions by the greatest power right?
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05/31/18

Confused about limits?
As lim x approaches -3 of x^2-3x/x^2-9   1.how can you solve it in a step by step i am really confused 2. When finding the sided limit we subsitutw in the original function or after we factor it?
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05/21/18

Write the Derivative
 Write the derivative ( formula for the slope of the graph) of f(x)= 2x2 + 5x   Please show all work 
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05/21/18

Find Velocity using a limit
Use the position function s(t)= -16t2 + 98 to find the velocity in feet/seconds at time t= 1 second. The velocity at t=c seconds is given by lim t>c , s(c)-s(t)/c-t   please show all work
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05/21/18

Find area of a limit off region
Use the limit process to find The area of the region between f(x)=x^2-x and the x-axis on the interval [1,3]
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05/12/18

Calculating upper and lower limits for a linear function
I am asked to calculate the lower limit and upper limit (L5 and U5) for the linear function y=13-3x, between x=0 and x=4.   I have found that Δx=4/5, and that x0 =0. However, I am getting my... more
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04/11/18

How do you proof lim x → ∞ (n^(x+1)) / ((x+1)!) = 0
lim x → ∞ (nx+1) / ((x+1)!)  
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Limits

04/03/18

lim-> 0( tan^3 x - tan (x^3))/(x^5)
lim-> 0( tan^3 x - tan (x^3))/(x^5) how do i solve this problem... do i need to use L'hopital rule or is there any other way too
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03/13/18

How can I transform −λ△t= (N(t+△t)−N(t)) / (△t) into the formula dN/dt=−λN using limits?
How can I transform −λ△t= (N(t+△t)−N(t)) / (△t) into the formula dN/dt=−λN using limits? This is in relation to radioactive decay for those that are wondering, thank you for your help and time!... more
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03/01/18

Find each limit by evaluating the derivative of the function
Find each limit by evaluating the derivative of the function limh→0 ((3(2+h)2-(2+h)-10))/h
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02/21/18

Tough analysis related question - please help!
Let A= a b           c  d   be an arbitrary 2x2 matrix. Let xn ⊆ R2 and suppose that (xn)→x for some x∈R2. Prove that (Axn)→Ax
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Limits Derivatives

02/08/18

Use the Limit Definition of the Derivative to find derivative of f(x)=1/sqrt(9x)
Confused on how to do the Definition of A Derivative.
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02/08/18

How do you find limits of piecewise functions?
I have a problem on limits. The graph shows two very different equations approaching the same point, but at that point (x=4) there is a hole. Below the hole there is a point at (4,2). What is the... more
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01/29/18

Finding a limit by looking at the function
Find the indicated limit, if it exists. (If an answer does not exist, enter DNE.) lim (x->infinity)   ((24 x^4 - x^3 + x + 8)/(8 x^4 + 2 x^3 + x^2 + 5x + 14))
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01/14/18

Limits of sequences and series
How do I go about proving limits for given sequences and series, for example how would i prove that the limit when x tends to infinity of n^(1/n)=1?
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