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1-5*x
Limit of the function/ 1-5*x

Limit of the function 1-5*x

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The solution

You have entered [src] 
 lim (1 - 5*x)
x->0+
lim⁡x→0+(−5x+1)\lim_{x \to 0^+}\left(- 5 x + 1\right) 
Limit(1 - 5*x, x, 0)
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
02468-8-6-4-2-1010-100100
Plot the graph
Rapid solution [src] 
1
11
Expand and simplify
One‐sided limits [src] 
 lim (1 - 5*x)
x->0+
lim⁡x→0+(−5x+1)\lim_{x \to 0^+}\left(- 5 x + 1\right) 
1
11 
= 1
 lim (1 - 5*x)
x->0-
lim⁡x→0−(−5x+1)\lim_{x \to 0^-}\left(- 5 x + 1\right) 
1
11 
= 1
= 1
Other limits x→0, -oo, +oo, 1
lim⁡x→0−(−5x+1)=1\lim_{x \to 0^-}\left(- 5 x + 1\right) = 1
More at x→0 from the left
lim⁡x→0+(−5x+1)=1\lim_{x \to 0^+}\left(- 5 x + 1\right) = 1
lim⁡x→∞(−5x+1)=−∞\lim_{x \to \infty}\left(- 5 x + 1\right) = -\infty
More at x→oo
lim⁡x→1−(−5x+1)=−4\lim_{x \to 1^-}\left(- 5 x + 1\right) = -4
More at x→1 from the left
lim⁡x→1+(−5x+1)=−4\lim_{x \to 1^+}\left(- 5 x + 1\right) = -4
More at x→1 from the right
lim⁡x→−∞(−5x+1)=∞\lim_{x \to -\infty}\left(- 5 x + 1\right) = \infty
More at x→-oo
Numerical answer [src] 
1.0
1.0
The graph
Limit of the function 1-5*x
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