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-3/2
Limit of the function/ -3/2

Limit of the function -3/2

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The solution

You have entered [src] 
 lim (-3/2)
x->3+
lim⁡x→3+−32\lim_{x \to 3^+} - \frac{3}{2} 
Limit(-3/2, 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
-1.0-0.8-0.6-0.4-0.21.00.00.20.40.60.8-1.50-1.49
Plot the graph
Rapid solution [src] 
-3/2
−32- \frac{3}{2}
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→3−−32=−32\lim_{x \to 3^-} - \frac{3}{2} = - \frac{3}{2}
More at x→3 from the left
lim⁡x→3+−32=−32\lim_{x \to 3^+} - \frac{3}{2} = - \frac{3}{2}
lim⁡x→∞−32=−32\lim_{x \to \infty} - \frac{3}{2} = - \frac{3}{2}
More at x→oo
lim⁡x→0−−32=−32\lim_{x \to 0^-} - \frac{3}{2} = - \frac{3}{2}
More at x→0 from the left
lim⁡x→0+−32=−32\lim_{x \to 0^+} - \frac{3}{2} = - \frac{3}{2}
More at x→0 from the right
lim⁡x→1−−32=−32\lim_{x \to 1^-} - \frac{3}{2} = - \frac{3}{2}
More at x→1 from the left
lim⁡x→1+−32=−32\lim_{x \to 1^+} - \frac{3}{2} = - \frac{3}{2}
More at x→1 from the right
lim⁡x→−∞−32=−32\lim_{x \to -\infty} - \frac{3}{2} = - \frac{3}{2}
More at x→-oo
One‐sided limits [src] 
 lim (-3/2)
x->3+
lim⁡x→3+−32\lim_{x \to 3^+} - \frac{3}{2} 
-3/2
−32- \frac{3}{2} 
= -1.5
 lim (-3/2)
x->3-
lim⁡x→3−−32\lim_{x \to 3^-} - \frac{3}{2} 
-3/2
−32- \frac{3}{2} 
= -1.5
= -1.5
Numerical answer [src] 
-1.5
-1.5
The graph
Limit of the function -3/2
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