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/2
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Limit of -x+(1+x)^2/(-2+x)
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Limit of x*tan(5*x)/2
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Limit of (-log(1+2*x)+tan(2*x))/x^2
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Identical expressions
- x*tan(five *x)/ two
- x multiply by tangent of (5 multiply by x) divide by 2
- x multiply by tangent of (five multiply by x) divide by two
- xtan(5x)/2
- xtan5x/2
- x*tan(5*x) divide by 2
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Similar expressions
- x^2*sin(8*x)*tan(5*x)/2
Limit of the function x*tan(5*x)/2
The solution
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[src]
/x*tan(5*x)\ lim |----------| x->0+\ 2 /
$$\lim_{x \to 0^+}\left(\frac{x \tan{\left(5 x \right)}}{2}\right)$$
Limit((x*tan(5*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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(\frac{x \tan{\left(5 x \right)}}{2}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{x \tan{\left(5 x \right)}}{2}\right) = 0$$
$$\lim_{x \to \infty}\left(\frac{x \tan{\left(5 x \right)}}{2}\right)$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{x \tan{\left(5 x \right)}}{2}\right) = \frac{\tan{\left(5 \right)}}{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{x \tan{\left(5 x \right)}}{2}\right) = \frac{\tan{\left(5 \right)}}{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{x \tan{\left(5 x \right)}}{2}\right)$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{x \tan{\left(5 x \right)}}{2}\right) = 0$$
$$\lim_{x \to \infty}\left(\frac{x \tan{\left(5 x \right)}}{2}\right)$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{x \tan{\left(5 x \right)}}{2}\right) = \frac{\tan{\left(5 \right)}}{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{x \tan{\left(5 x \right)}}{2}\right) = \frac{\tan{\left(5 \right)}}{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{x \tan{\left(5 x \right)}}{2}\right)$$
More at x→-oo
One‐sided limits
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/x*tan(5*x)\ lim |----------| x->0+\ 2 /
$$\lim_{x \to 0^+}\left(\frac{x \tan{\left(5 x \right)}}{2}\right)$$
0
$$0$$
= -6.55612102311664e-31
/x*tan(5*x)\ lim |----------| x->0-\ 2 /
$$\lim_{x \to 0^-}\left(\frac{x \tan{\left(5 x \right)}}{2}\right)$$
0
$$0$$
= -6.55612102311664e-31
= -6.55612102311664e-31
The graph