Mister Exam

Other calculators:

tan(4*x)
Limit of the function/ tan(4*x)

Limit of the function tan(4*x)

at →
v

For end points:

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 lim tan(4*x)
x->0+
lim⁡x→0+tan⁡(4x)\lim_{x \to 0^+} \tan{\left(4 x \right)} 
Limit(tan(4*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
02468-8-6-4-2-1010-500500
Plot the graph
One‐sided limits [src] 
 lim tan(4*x)
x->0+
lim⁡x→0+tan⁡(4x)\lim_{x \to 0^+} \tan{\left(4 x \right)} 
0
00 
= 1.12314206742663e-31
 lim tan(4*x)
x->0-
lim⁡x→0−tan⁡(4x)\lim_{x \to 0^-} \tan{\left(4 x \right)} 
0
00 
= -1.12314206742663e-31
= -1.12314206742663e-31
Rapid solution [src] 
0
00
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→0−tan⁡(4x)=0\lim_{x \to 0^-} \tan{\left(4 x \right)} = 0
More at x→0 from the left
lim⁡x→0+tan⁡(4x)=0\lim_{x \to 0^+} \tan{\left(4 x \right)} = 0
lim⁡x→∞tan⁡(4x)=⟨−∞,∞⟩\lim_{x \to \infty} \tan{\left(4 x \right)} = \left\langle -\infty, \infty\right\rangle
More at x→oo
lim⁡x→1−tan⁡(4x)=tan⁡(4)\lim_{x \to 1^-} \tan{\left(4 x \right)} = \tan{\left(4 \right)}
More at x→1 from the left
lim⁡x→1+tan⁡(4x)=tan⁡(4)\lim_{x \to 1^+} \tan{\left(4 x \right)} = \tan{\left(4 \right)}
More at x→1 from the right
lim⁡x→−∞tan⁡(4x)=⟨−∞,∞⟩\lim_{x \to -\infty} \tan{\left(4 x \right)} = \left\langle -\infty, \infty\right\rangle
More at x→-oo
Numerical answer [src] 
1.12314206742663e-31
1.12314206742663e-31
The graph
Limit of the function tan(4*x)
    © Mister Exam – Calculator