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3-3*x^2
Limit of the function/ 3-3*x^2

Limit of the function 3-3*x^2

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     /       2\
 lim \3 - 3*x /
x->1+
lim⁡x→1+(3−3x2)\lim_{x \to 1^+}\left(3 - 3 x^{2}\right) 
Limit(3 - 3*x^2, x, 1)
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
-2.0-1.5-1.0-0.52.00.00.51.01.5-1010
Plot the graph
Rapid solution [src] 
0
00
Expand and simplify
One‐sided limits [src] 
     /       2\
 lim \3 - 3*x /
x->1+
lim⁡x→1+(3−3x2)\lim_{x \to 1^+}\left(3 - 3 x^{2}\right) 
0
00 
= 2.39153384521091e-31
     /       2\
 lim \3 - 3*x /
x->1-
lim⁡x→1−(3−3x2)\lim_{x \to 1^-}\left(3 - 3 x^{2}\right) 
0
00 
= 3.41830095449434e-31
= 3.41830095449434e-31
Other limits x→0, -oo, +oo, 1
lim⁡x→1−(3−3x2)=0\lim_{x \to 1^-}\left(3 - 3 x^{2}\right) = 0
More at x→1 from the left
lim⁡x→1+(3−3x2)=0\lim_{x \to 1^+}\left(3 - 3 x^{2}\right) = 0
lim⁡x→∞(3−3x2)=−∞\lim_{x \to \infty}\left(3 - 3 x^{2}\right) = -\infty
More at x→oo
lim⁡x→0−(3−3x2)=3\lim_{x \to 0^-}\left(3 - 3 x^{2}\right) = 3
More at x→0 from the left
lim⁡x→0+(3−3x2)=3\lim_{x \to 0^+}\left(3 - 3 x^{2}\right) = 3
More at x→0 from the right
lim⁡x→−∞(3−3x2)=−∞\lim_{x \to -\infty}\left(3 - 3 x^{2}\right) = -\infty
More at x→-oo
Numerical answer [src] 
2.39153384521091e-31
2.39153384521091e-31
The graph
Limit of the function 3-3*x^2
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