Limit of a function at a point (picture included)

maplesyrup23
Messages
10
Reaction score
0
I'm trying to find the limit of this function at 0.

I know that for the abs (x) graph, 0 is not differentiable because of abs (h)/h, but I'm not certain about the point on this function.

There is no function given, only the picture.

Thanks in advance!
 

Attachments

  • Calculus Query.png
    Calculus Query.png
    1 KB · Views: 387
Physics news on Phys.org
0...
 
maplesyrup23 said:
I'm trying to find the limit of this function at 0.

I know that for the abs (x) graph, 0 is not differentiable because of abs (h)/h, but I'm not certain about the point on this function.

There is no function given, only the picture.

Thanks in advance!
It's true that |x| is not differentiable at x = 0. However, limx→0 |x| exists, and is equal to 0.
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
View full post »

Similar threads

Can this function still be a constant function?
Replies
11
Views
1K
Calculate the limit cos(x)/sin(x) when x approaches 0
Replies
12
Views
3K
Limit on the edge of the domain
Replies
9
Views
2K
Proving piecewise function is k-differentiable
Replies
5
Views
2K
Study Function: Continuity, Derivatives & Differentiability
Replies
6
Views
2K
Intermediate Value Theorem Problem on a String
Replies
14
Views
2K
Find limit of multi variable function
Replies
10
Views
1K
I have troubles finding the limit of this piecewise function
Replies
9
Views
2K
Studying non-differentiable points of an irrational function
Replies
14
Views
1K
Interpret Riemann sum to determine integral
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top