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-8+(1/5)^x
Limit of the function/ -8+(1/5)^x

Limit of the function -8+(1/5)^x

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      /      -x\
 lim  \-8 + 5  /
x->-1+
lim⁡x→−1+(−8+(15)x)\lim_{x \to -1^+}\left(-8 + \left(\frac{1}{5}\right)^{x}\right) 
Limit(-8 + (1/5)^x, x, -1)
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
-2.0-1.5-1.0-0.52.00.00.51.01.5-2525
Plot the graph
Rapid solution [src] 
-3
−3-3
Expand and simplify
One‐sided limits [src] 
      /      -x\
 lim  \-8 + 5  /
x->-1+
lim⁡x→−1+(−8+(15)x)\lim_{x \to -1^+}\left(-8 + \left(\frac{1}{5}\right)^{x}\right) 
-3
−3-3 
= -3.0
      /      -x\
 lim  \-8 + 5  /
x->-1-
lim⁡x→−1−(−8+(15)x)\lim_{x \to -1^-}\left(-8 + \left(\frac{1}{5}\right)^{x}\right) 
-3
−3-3 
= -3.0
= -3.0
Other limits x→0, -oo, +oo, 1
lim⁡x→−1−(−8+(15)x)=−3\lim_{x \to -1^-}\left(-8 + \left(\frac{1}{5}\right)^{x}\right) = -3
More at x→-1 from the left
lim⁡x→−1+(−8+(15)x)=−3\lim_{x \to -1^+}\left(-8 + \left(\frac{1}{5}\right)^{x}\right) = -3
lim⁡x→∞(−8+(15)x)=−8\lim_{x \to \infty}\left(-8 + \left(\frac{1}{5}\right)^{x}\right) = -8
More at x→oo
lim⁡x→0−(−8+(15)x)=−7\lim_{x \to 0^-}\left(-8 + \left(\frac{1}{5}\right)^{x}\right) = -7
More at x→0 from the left
lim⁡x→0+(−8+(15)x)=−7\lim_{x \to 0^+}\left(-8 + \left(\frac{1}{5}\right)^{x}\right) = -7
More at x→0 from the right
lim⁡x→1−(−8+(15)x)=−395\lim_{x \to 1^-}\left(-8 + \left(\frac{1}{5}\right)^{x}\right) = - \frac{39}{5}
More at x→1 from the left
lim⁡x→1+(−8+(15)x)=−395\lim_{x \to 1^+}\left(-8 + \left(\frac{1}{5}\right)^{x}\right) = - \frac{39}{5}
More at x→1 from the right
lim⁡x→−∞(−8+(15)x)=∞\lim_{x \to -\infty}\left(-8 + \left(\frac{1}{5}\right)^{x}\right) = \infty
More at x→-oo
Numerical answer [src] 
-3.0
-3.0
The graph
Limit of the function -8+(1/5)^x
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