Mister Exam

Other calculators:

-sin(x)
Limit of the function/ -sin(x)

Limit of the function -sin(x)

at →
v

For end points:

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 lim  (-sin(x))
x->-oo
lim⁡x→−∞(−sin⁡(x))\lim_{x \to -\infty}\left(- \sin{\left(x \right)}\right) 
Limit(-sin(x), x, -oo)
Lopital's rule
There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type
The graph
02468-8-6-4-2-10102-2
Plot the graph
Rapid solution [src] 
<-1, 1>
⟨−1,1⟩\left\langle -1, 1\right\rangle
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→−∞(−sin⁡(x))=⟨−1,1⟩\lim_{x \to -\infty}\left(- \sin{\left(x \right)}\right) = \left\langle -1, 1\right\rangle
lim⁡x→∞(−sin⁡(x))=⟨−1,1⟩\lim_{x \to \infty}\left(- \sin{\left(x \right)}\right) = \left\langle -1, 1\right\rangle
More at x→oo
lim⁡x→0−(−sin⁡(x))=0\lim_{x \to 0^-}\left(- \sin{\left(x \right)}\right) = 0
More at x→0 from the left
lim⁡x→0+(−sin⁡(x))=0\lim_{x \to 0^+}\left(- \sin{\left(x \right)}\right) = 0
More at x→0 from the right
lim⁡x→1−(−sin⁡(x))=−sin⁡(1)\lim_{x \to 1^-}\left(- \sin{\left(x \right)}\right) = - \sin{\left(1 \right)}
More at x→1 from the left
lim⁡x→1+(−sin⁡(x))=−sin⁡(1)\lim_{x \to 1^+}\left(- \sin{\left(x \right)}\right) = - \sin{\left(1 \right)}
More at x→1 from the right
The graph
Limit of the function -sin(x)
    © Mister Exam – Calculator