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x^2*tan(x)

Limit of the function x^2*tan(x)

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     / 2       \
 lim \x *tan(x)/
x->0+           
$$\lim_{x \to 0^+}\left(x^{2} \tan{\left(x \right)}\right)$$
Limit(x^2*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
One‐sided limits [src]
     / 2       \
 lim \x *tan(x)/
x->0+           
$$\lim_{x \to 0^+}\left(x^{2} \tan{\left(x \right)}\right)$$
0
$$0$$
= 4.32684309645723e-30
     / 2       \
 lim \x *tan(x)/
x->0-           
$$\lim_{x \to 0^-}\left(x^{2} \tan{\left(x \right)}\right)$$
0
$$0$$
= -4.32684309645723e-30
= -4.32684309645723e-30
Rapid solution [src]
0
$$0$$
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(x^{2} \tan{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{2} \tan{\left(x \right)}\right) = 0$$
$$\lim_{x \to \infty}\left(x^{2} \tan{\left(x \right)}\right)$$
More at x→oo
$$\lim_{x \to 1^-}\left(x^{2} \tan{\left(x \right)}\right) = \tan{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{2} \tan{\left(x \right)}\right) = \tan{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{2} \tan{\left(x \right)}\right)$$
More at x→-oo
Numerical answer [src]
4.32684309645723e-30
4.32684309645723e-30
The graph
Limit of the function x^2*tan(x)