Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of -sin(x)+tan(x)
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Limit of cos(x)*tan(5*x)
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Limit of -1+sqrt(5)-sqrt(2)-2*x
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Limit of ((-1+4*x)/(3+4*x))^(2+3*x)
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Identical expressions
- -sin(x)+tan(x)
- minus sinus of (x) plus tangent of (x)
- -sinx+tanx
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Similar expressions
- sin(x)+tan(x)
- -sin(x)/(x-sin(x))+tan(x)
- -sin(x)-tan(x)
- -sinx+tan(x)
Limit of the function -sin(x)+tan(x)
The solution
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lim (-sin(x) + tan(x)) x->0+
$$\lim_{x \to 0^+}\left(- \sin{\left(x \right)} + \tan{\left(x \right)}\right)$$
Limit(-sin(x) + 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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(- \sin{\left(x \right)} + \tan{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- \sin{\left(x \right)} + \tan{\left(x \right)}\right) = 0$$
$$\lim_{x \to \infty}\left(- \sin{\left(x \right)} + \tan{\left(x \right)}\right)$$
More at x→oo
$$\lim_{x \to 1^-}\left(- \sin{\left(x \right)} + \tan{\left(x \right)}\right) = - \sin{\left(1 \right)} + \tan{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- \sin{\left(x \right)} + \tan{\left(x \right)}\right) = - \sin{\left(1 \right)} + \tan{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(- \sin{\left(x \right)} + \tan{\left(x \right)}\right)$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- \sin{\left(x \right)} + \tan{\left(x \right)}\right) = 0$$
$$\lim_{x \to \infty}\left(- \sin{\left(x \right)} + \tan{\left(x \right)}\right)$$
More at x→oo
$$\lim_{x \to 1^-}\left(- \sin{\left(x \right)} + \tan{\left(x \right)}\right) = - \sin{\left(1 \right)} + \tan{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- \sin{\left(x \right)} + \tan{\left(x \right)}\right) = - \sin{\left(1 \right)} + \tan{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(- \sin{\left(x \right)} + \tan{\left(x \right)}\right)$$
More at x→-oo
One‐sided limits
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lim (-sin(x) + tan(x)) x->0+
$$\lim_{x \to 0^+}\left(- \sin{\left(x \right)} + \tan{\left(x \right)}\right)$$
0
$$0$$
= 1.76065917377388e-30
lim (-sin(x) + tan(x)) x->0-
$$\lim_{x \to 0^-}\left(- \sin{\left(x \right)} + \tan{\left(x \right)}\right)$$
0
$$0$$
= -1.76065917377388e-30
= -1.76065917377388e-30
The graph