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Limit of the function/ x/7

Limit of the function x/7

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The solution

You have entered [src] 
      /x\
 lim  |-|
x->-3+\7/
$$\lim_{x \to -3^+}\left(\frac{x}{7}\right)$$ 
Limit(x/7, 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
Plot the graph
Rapid solution [src] 
-3/7
$$- \frac{3}{7}$$
Expand and simplify
One‐sided limits [src] 
      /x\
 lim  |-|
x->-3+\7/
$$\lim_{x \to -3^+}\left(\frac{x}{7}\right)$$ 
-3/7
$$- \frac{3}{7}$$ 
= -0.428571428571429
      /x\
 lim  |-|
x->-3-\7/
$$\lim_{x \to -3^-}\left(\frac{x}{7}\right)$$ 
-3/7
$$- \frac{3}{7}$$ 
= -0.428571428571429
= -0.428571428571429
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to -3^-}\left(\frac{x}{7}\right) = - \frac{3}{7}$$
More at x→-3 from the left
$$\lim_{x \to -3^+}\left(\frac{x}{7}\right) = - \frac{3}{7}$$
$$\lim_{x \to \infty}\left(\frac{x}{7}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(\frac{x}{7}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{x}{7}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{x}{7}\right) = \frac{1}{7}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{x}{7}\right) = \frac{1}{7}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{x}{7}\right) = -\infty$$
More at x→-oo
Numerical answer [src] 
-0.428571428571429
-0.428571428571429
The graph
Limit of the function x/7
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