Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of 1/(2-x)-3/(4-x^2)
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Limit of (1+1/(7*x))^(5*x)
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Limit of (x+sqrt(10+x-x^2))/(sqrt(2-7*x)+2*x)
- Limit of (-1+x^m)/(-1+x)
- Graphing y =:
- x^4+4*x^2
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Identical expressions
- x^ four + four *x^ two
- x to the power of 4 plus 4 multiply by x squared
- x to the power of four plus four multiply by x to the power of two
- x4+4*x2
- x⁴+4*x²
- x to the power of 4+4*x to the power of 2
- x^4+4x^2
- x4+4x2
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Similar expressions
- x^4-4*x^2
Limit of the function x^4+4*x^2
The solution
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[src]
/ 4 2\ lim \x + 4*x / x->0+
$$\lim_{x \to 0^+}\left(x^{4} + 4 x^{2}\right)$$
Limit(x^4 + 4*x^2, 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]
/ 4 2\ lim \x + 4*x / x->0+
$$\lim_{x \to 0^+}\left(x^{4} + 4 x^{2}\right)$$
0
$$0$$
= -2.17315594204944e-30
/ 4 2\ lim \x + 4*x / x->0-
$$\lim_{x \to 0^-}\left(x^{4} + 4 x^{2}\right)$$
0
$$0$$
= -2.17315594204944e-30
= -2.17315594204944e-30
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(x^{4} + 4 x^{2}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{4} + 4 x^{2}\right) = 0$$
$$\lim_{x \to \infty}\left(x^{4} + 4 x^{2}\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(x^{4} + 4 x^{2}\right) = 5$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{4} + 4 x^{2}\right) = 5$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{4} + 4 x^{2}\right) = \infty$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{4} + 4 x^{2}\right) = 0$$
$$\lim_{x \to \infty}\left(x^{4} + 4 x^{2}\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(x^{4} + 4 x^{2}\right) = 5$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{4} + 4 x^{2}\right) = 5$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{4} + 4 x^{2}\right) = \infty$$
More at x→-oo
The graph