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1+2*x
Limit of the function/ 1+2*x

Limit of the function 1+2*x

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The solution

You have entered [src] 
 lim (1 + 2*x)
x->3+
lim⁡x→3+(2x+1)\lim_{x \to 3^+}\left(2 x + 1\right) 
Limit(1 + 2*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
6012345-6-5-4-3-2-1-2525
Plot the graph
Other limits x→0, -oo, +oo, 1
lim⁡x→3−(2x+1)=7\lim_{x \to 3^-}\left(2 x + 1\right) = 7
More at x→3 from the left
lim⁡x→3+(2x+1)=7\lim_{x \to 3^+}\left(2 x + 1\right) = 7
lim⁡x→∞(2x+1)=∞\lim_{x \to \infty}\left(2 x + 1\right) = \infty
More at x→oo
lim⁡x→0−(2x+1)=1\lim_{x \to 0^-}\left(2 x + 1\right) = 1
More at x→0 from the left
lim⁡x→0+(2x+1)=1\lim_{x \to 0^+}\left(2 x + 1\right) = 1
More at x→0 from the right
lim⁡x→1−(2x+1)=3\lim_{x \to 1^-}\left(2 x + 1\right) = 3
More at x→1 from the left
lim⁡x→1+(2x+1)=3\lim_{x \to 1^+}\left(2 x + 1\right) = 3
More at x→1 from the right
lim⁡x→−∞(2x+1)=−∞\lim_{x \to -\infty}\left(2 x + 1\right) = -\infty
More at x→-oo
Rapid solution [src] 
7
77
Expand and simplify
One‐sided limits [src] 
 lim (1 + 2*x)
x->3+
lim⁡x→3+(2x+1)\lim_{x \to 3^+}\left(2 x + 1\right) 
7
77 
= 7.0
 lim (1 + 2*x)
x->3-
lim⁡x→3−(2x+1)\lim_{x \to 3^-}\left(2 x + 1\right) 
7
77 
= 7.0
= 7.0
Numerical answer [src] 
7.0
7.0
The graph
Limit of the function 1+2*x
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