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10+x^2-7*x
Limit of the function/ 10+x^2-7*x

Limit of the function 10+x^2-7*x

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     /      2      \
 lim \10 + x  - 7*x/
x->5+
$$\lim_{x \to 5^+}\left(x^{2} - 7 x + 10\right)$$ 
Limit(10 + x^2 - 7*x, x, 5)
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
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Rapid solution [src] 
0
$$0$$
Expand and simplify
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 5^-}\left(x^{2} - 7 x + 10\right) = 0$$
More at x→5 from the left
$$\lim_{x \to 5^+}\left(x^{2} - 7 x + 10\right) = 0$$
$$\lim_{x \to \infty}\left(x^{2} - 7 x + 10\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(x^{2} - 7 x + 10\right) = 10$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{2} - 7 x + 10\right) = 10$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x^{2} - 7 x + 10\right) = 4$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{2} - 7 x + 10\right) = 4$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{2} - 7 x + 10\right) = \infty$$
More at x→-oo
One‐sided limits [src] 
     /      2      \
 lim \10 + x  - 7*x/
x->5+
$$\lim_{x \to 5^+}\left(x^{2} - 7 x + 10\right)$$ 
0
$$0$$ 
= -7.11614022630017e-32
     /      2      \
 lim \10 + x  - 7*x/
x->5-
$$\lim_{x \to 5^-}\left(x^{2} - 7 x + 10\right)$$ 
0
$$0$$ 
= -1.22499757727173e-31
= -1.22499757727173e-31
Numerical answer [src] 
-7.11614022630017e-32
-7.11614022630017e-32
The graph
Limit of the function 10+x^2-7*x
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