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1+17*x/3
Limit of the function/ 1+17*x/3

Limit of the function 1+17*x/3

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     /    17*x\
 lim |1 + ----|
x->6+\     3  /
$$\lim_{x \to 6^+}\left(\frac{17 x}{3} + 1\right)$$ 
Limit(1 + (17*x)/3, x, 6)
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] 
35
$$35$$
Expand and simplify
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 6^-}\left(\frac{17 x}{3} + 1\right) = 35$$
More at x→6 from the left
$$\lim_{x \to 6^+}\left(\frac{17 x}{3} + 1\right) = 35$$
$$\lim_{x \to \infty}\left(\frac{17 x}{3} + 1\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(\frac{17 x}{3} + 1\right) = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{17 x}{3} + 1\right) = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{17 x}{3} + 1\right) = \frac{20}{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{17 x}{3} + 1\right) = \frac{20}{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{17 x}{3} + 1\right) = -\infty$$
More at x→-oo
One‐sided limits [src] 
     /    17*x\
 lim |1 + ----|
x->6+\     3  /
$$\lim_{x \to 6^+}\left(\frac{17 x}{3} + 1\right)$$ 
35
$$35$$ 
= 35.0
     /    17*x\
 lim |1 + ----|
x->6-\     3  /
$$\lim_{x \to 6^-}\left(\frac{17 x}{3} + 1\right)$$ 
35
$$35$$ 
= 35.0
= 35.0
Numerical answer [src] 
35.0
35.0
The graph
Limit of the function 1+17*x/3
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