Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of x^2*(1/3-cos(8*x)/3)
-
Limit of (-2+x^2-x)/(-2+x+3*x^2)
-
Limit of (-1+sin(x))/cos(x)
-
Limit of (-2*sin(x)+sin(2*x))/(x*log(cos(5*x)))
-
Identical expressions
- tan(x)^asin(x)
- tangent of (x) to the power of arc sinus of e of (x)
- tan(x)asin(x)
- tanxasinx
- tanx^asinx
-
Similar expressions
- tan(x)^arcsin(x)
- tan(x)^arcsinx
Limit of the function tan(x)^asin(x)
The solution
You have entered
[src]
asin(x) lim tan (x) x->0+
$$\lim_{x \to 0^+} \tan^{\operatorname{asin}{\left(x \right)}}{\left(x \right)}$$
Limit(tan(x)^asin(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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} \tan^{\operatorname{asin}{\left(x \right)}}{\left(x \right)} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \tan^{\operatorname{asin}{\left(x \right)}}{\left(x \right)} = 1$$
$$\lim_{x \to \infty} \tan^{\operatorname{asin}{\left(x \right)}}{\left(x \right)}$$
More at x→oo
$$\lim_{x \to 1^-} \tan^{\operatorname{asin}{\left(x \right)}}{\left(x \right)} = \tan^{\frac{\pi}{2}}{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \tan^{\operatorname{asin}{\left(x \right)}}{\left(x \right)} = \tan^{\frac{\pi}{2}}{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \tan^{\operatorname{asin}{\left(x \right)}}{\left(x \right)}$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \tan^{\operatorname{asin}{\left(x \right)}}{\left(x \right)} = 1$$
$$\lim_{x \to \infty} \tan^{\operatorname{asin}{\left(x \right)}}{\left(x \right)}$$
More at x→oo
$$\lim_{x \to 1^-} \tan^{\operatorname{asin}{\left(x \right)}}{\left(x \right)} = \tan^{\frac{\pi}{2}}{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \tan^{\operatorname{asin}{\left(x \right)}}{\left(x \right)} = \tan^{\frac{\pi}{2}}{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \tan^{\operatorname{asin}{\left(x \right)}}{\left(x \right)}$$
More at x→-oo
One‐sided limits
[src]
asin(x) lim tan (x) x->0+
$$\lim_{x \to 0^+} \tan^{\operatorname{asin}{\left(x \right)}}{\left(x \right)}$$
1
$$1$$
= 0.998120706743336
asin(x) lim tan (x) x->0-
$$\lim_{x \to 0^-} \tan^{\operatorname{asin}{\left(x \right)}}{\left(x \right)}$$
1
$$1$$
= (1.00191690138811 - 0.000840101661505512j)
= (1.00191690138811 - 0.000840101661505512j)
The graph