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4*x^2+11*x
Limit of the function/ 4*x^2+11*x

Limit of the function 4*x^2+11*x

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      /   2       \
 lim  \4*x  + 11*x/
x->-3+
$$\lim_{x \to -3^+}\left(4 x^{2} + 11 x\right)$$ 
Limit(4*x^2 + 11*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
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Rapid solution [src] 
3
$$3$$
Expand and simplify
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to -3^-}\left(4 x^{2} + 11 x\right) = 3$$
More at x→-3 from the left
$$\lim_{x \to -3^+}\left(4 x^{2} + 11 x\right) = 3$$
$$\lim_{x \to \infty}\left(4 x^{2} + 11 x\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(4 x^{2} + 11 x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(4 x^{2} + 11 x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(4 x^{2} + 11 x\right) = 15$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(4 x^{2} + 11 x\right) = 15$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(4 x^{2} + 11 x\right) = \infty$$
More at x→-oo
One‐sided limits [src] 
      /   2       \
 lim  \4*x  + 11*x/
x->-3+
$$\lim_{x \to -3^+}\left(4 x^{2} + 11 x\right)$$ 
3
$$3$$ 
= 3.0
      /   2       \
 lim  \4*x  + 11*x/
x->-3-
$$\lim_{x \to -3^-}\left(4 x^{2} + 11 x\right)$$ 
3
$$3$$ 
= 3.0
= 3.0
Numerical answer [src] 
3.0
3.0
The graph
Limit of the function 4*x^2+11*x
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