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e^tan(x)
Limit of the function/ e^tan(x)

Limit of the function e^tan(x)

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The solution

You have entered [src] 
      tan(x)
 lim E      
x->0+
lim⁡x→0+etan⁡(x)\lim_{x \to 0^+} e^{\tan{\left(x \right)}} 
Limit(E^tan(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
02468-8-6-4-2-101002500000000000
Plot the graph
One‐sided limits [src] 
      tan(x)
 lim E      
x->0+
lim⁡x→0+etan⁡(x)\lim_{x \to 0^+} e^{\tan{\left(x \right)}} 
1
11 
= 1.0
      tan(x)
 lim E      
x->0-
lim⁡x→0−etan⁡(x)\lim_{x \to 0^-} e^{\tan{\left(x \right)}} 
1
11 
= 1.0
= 1.0
Other limits x→0, -oo, +oo, 1
lim⁡x→0−etan⁡(x)=1\lim_{x \to 0^-} e^{\tan{\left(x \right)}} = 1
More at x→0 from the left
lim⁡x→0+etan⁡(x)=1\lim_{x \to 0^+} e^{\tan{\left(x \right)}} = 1
lim⁡x→∞etan⁡(x)\lim_{x \to \infty} e^{\tan{\left(x \right)}}
More at x→oo
lim⁡x→1−etan⁡(x)=etan⁡(1)\lim_{x \to 1^-} e^{\tan{\left(x \right)}} = e^{\tan{\left(1 \right)}}
More at x→1 from the left
lim⁡x→1+etan⁡(x)=etan⁡(1)\lim_{x \to 1^+} e^{\tan{\left(x \right)}} = e^{\tan{\left(1 \right)}}
More at x→1 from the right
lim⁡x→−∞etan⁡(x)\lim_{x \to -\infty} e^{\tan{\left(x \right)}}
More at x→-oo
Rapid solution [src] 
1
11
Expand and simplify
Numerical answer [src] 
1.0
1.0
The graph
Limit of the function e^tan(x)
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