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x^2-7*x
Limit of the function/ x^2-7*x

Limit of the function x^2-7*x

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     / 2      \
 lim \x  - 7*x/
x->3+
lim⁡x→3+(x2−7x)\lim_{x \to 3^+}\left(x^{2} - 7 x\right) 
Limit(x^2 - 7*x, x, 3)
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
6012345-6-5-4-3-2-1-100100
Plot the graph
Other limits x→0, -oo, +oo, 1
lim⁡x→3−(x2−7x)=−12\lim_{x \to 3^-}\left(x^{2} - 7 x\right) = -12
More at x→3 from the left
lim⁡x→3+(x2−7x)=−12\lim_{x \to 3^+}\left(x^{2} - 7 x\right) = -12
lim⁡x→∞(x2−7x)=∞\lim_{x \to \infty}\left(x^{2} - 7 x\right) = \infty
More at x→oo
lim⁡x→0−(x2−7x)=0\lim_{x \to 0^-}\left(x^{2} - 7 x\right) = 0
More at x→0 from the left
lim⁡x→0+(x2−7x)=0\lim_{x \to 0^+}\left(x^{2} - 7 x\right) = 0
More at x→0 from the right
lim⁡x→1−(x2−7x)=−6\lim_{x \to 1^-}\left(x^{2} - 7 x\right) = -6
More at x→1 from the left
lim⁡x→1+(x2−7x)=−6\lim_{x \to 1^+}\left(x^{2} - 7 x\right) = -6
More at x→1 from the right
lim⁡x→−∞(x2−7x)=∞\lim_{x \to -\infty}\left(x^{2} - 7 x\right) = \infty
More at x→-oo
Rapid solution [src] 
-12
−12-12
Expand and simplify
One‐sided limits [src] 
     / 2      \
 lim \x  - 7*x/
x->3+
lim⁡x→3+(x2−7x)\lim_{x \to 3^+}\left(x^{2} - 7 x\right) 
-12
−12-12 
= -12.0
     / 2      \
 lim \x  - 7*x/
x->3-
lim⁡x→3−(x2−7x)\lim_{x \to 3^-}\left(x^{2} - 7 x\right) 
-12
−12-12 
= -12.0
= -12.0
Numerical answer [src] 
-12.0
-12.0
The graph
Limit of the function x^2-7*x
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