# limits

Does anyone know how to find the limit of this problem? Your help would be much appreciated!
2. ### Why does limit tend to positve infinity and 0?

Hi everyone, I have following task: When I approach from the right, it's positive infinity (which is correct) but why is it 0 when I approach from the left, why isn't it negative infinity? Thank you in advance! Kind regards!
3. ### I don't understand why the limit is negative infinity

Hello everyone, I have this task: I tried to solve it and in my solution, I get positive infinity when I approach from the left (which is correct, according to the answer) and positive infinity which is false when I approach from the right. That is the solution: Can someone explain, how I...
4. ### Please explain why marks were taken off in this limit question

My teacher said I have to solve all the limits at once, but I don't understand why it matters if I solve one before the other. Can someone please explain why this is wrong?
5. ### Trouble on Integral Test

Hi guys! I was doing a problem for my homework and I was doing great until the end. I got the integral correct and proved that the series converged but I'm having trouble understanding something. In the attached picture: I just need some explanation from at the point the limit is set up from t...
6. ### Proving the limits of expectations

Hi, I have the following questions. Can anyone show me how to solve the 2 parts? i think it involves using Strong Laws of Large Numbers, Dominated Convergence Theorem, etc. For part (ii), it think the left-hand side can be expressed in the form of an expectation (similar to part (i)). ..
7. ### Find the limit

(x^(1/3)-1)/(x^(1/4)-1) find the limit as x approaches 1
8. ### Limits - finding f(x)

Hi, I hope someone can help. I'm trying to solve the following question: I don't understand the second line of the solution (starting at "thus"): For example, what is the purpose behind letting the the limit as x approaches 1 for {[f(x) - 8] + 8}? What's the meaning of adding +8? Does it...
9. ### find the limits, HELP

1.$\lim_{x\rightarrow 1}\frac{\sqrt{x^{2}}-2\sqrt{x}+1}{(x-1)^{2}}$ 2.$\lim_{x \rightarrow 1}\frac{\sqrt{x}-1}{\sqrt{x}-1}$ 3.$\lim_{x \rightarrow 0}\frac{\sqrt{1+x}-\sqrt{1-x}}{x}$ thank you if u take the time to solve them, means a lot!!(Bigsmile)
10. ### Limits Again :(

I really can't get my head round limits. If someone could explain the process of working out these limits I'll be so grateful - exam tomorrow! :( 1) limit as x approaches infinity: (x/2)(e3/x- 1) 2) limit as x approaches 0: (3x(1+x) - e3x) / 3x 3) limit as x approaches 0: (arctan(3x)) / 2x...
11. ### Does Not Exist Limits

Can I answer DNE limits as infinity or negative infinity? like this lim sin(x) as x goes to infinity = infinity? lim sin(x) as x goes to -infinity = -infinity?
12. ### Finding a smooth(infinitely differentiable) function

So I have to find a smooth (infinitely differentiable) function where a(t) = 1 if t<=0 and a(t) = 0 if t>=1, so the major thing is finding what a(t) is when 0<t<1, and I know it'll have something to do with e^(something) but I just can't seem to find it. Any help would be much appreciated!
13. ### How are limits applied in real-life?

What application do they serve. Because I am pretty sure we cannot say that we have a number going towards an object from both sides.
14. ### Do I not have enough information to do these problems? (limits with squeeze theorem)

m.imgur.com/x55Btsf <----- Notes I have from lecture on squeeze theorem. I realize range for sin and cos = [-1,1] and tan and cot are all real numbers. he showed us these 2 cases for squeeze theorem, then we went over the review for the exam on Tuesday. While doing the...
15. ### Evaluating Limits

Use the information to evaluate the limits. The limit of f(x) as x tends to c is 3/2 and the limit of g(x) as x tends to c is 1/2. Find (a) through (d). Show your work. (a) limit [4*f(x)] as x tends to c. (b) limit [f(x) + g(x)] as x tends to c. (c) limit [f(x)*g(x)] as x tends...
16. ### Limits! the multi-varable kind

limit as (x,y) ->(0,0) of the function x^(1/y)/y Im looking for the limit as (x,y) ->(0,0) of the function x^(1/y)/y with x,y >0 lim (lim x^(1/y)/y = 0 y->0 x->0 How do i get this limit lim (lim x^(1/y)/y = ? (should also be zero) x->0 y->0 I have found a solution that...
17. ### Log Differentiation Proof

Here's my attempt at a problem. What do I do next... or do I need a totally different approach? Also, I tried to enter the question into the thread directly, but got an "invalid equation" when using TEX brackets. It worked on overleaf.com Why does it only appear to work here without the TEX...
18. ### A Question On Limits And Infinities

I'm working on a few questions for my online Calc course, and I'm pretty new to the subject, so I could use some help! :) The problem states: If the limit of f(x), as x approaches a, equals infinity... and if the limit of g(x), as x approaches a, equals infinity... then the limit of (f(x)-g(x))...
19. ### epsilon delta product limits

can you multiply two functions with each function approaching different x values----Example (x+4)=L as x approaches 2-----------(x+7)=M as x approaches 3? The Theorem states limit as X approaches a (f(x)g(x)=LM---I'm assuming both functions would have to approach the same a value? Thanks Delbert
20. ### Tolerance limits

I'm in the part where it asks, "In addition, give a lower 95% tolerance limit that is exceeded by 99% of the tensile strength values". Which of the given percentages (95% and 99%) is 1-alpha and which one is the other symbol that looks like a v (above 1-alpha) located in the table? How do you...