Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (3+2*x)/(1-5*x)
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Limit of (1-2*cos(x))/sin(3*x)
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Limit of (-6+x^2-x)/(-21+x+2*x^2)
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Limit of ((4+x^2+5*x)/(7+x^2-3*x))^x
- Derivative of:
- tan(sqrt(x))
- Integral of d{x}:
- tan(sqrt(x))
- Graphing y =:
- tan(sqrt(x))
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Identical expressions
- tan(sqrt(x))
- tangent of ( square root of (x))
- tan(√(x))
- tansqrtx
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Similar expressions
- -tan(sqrt(x)-x)/sin(5*x)
Limit of the function tan(sqrt(x))
The solution
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/ ___\ lim tan\\/ x / x->oo
$$\lim_{x \to \infty} \tan{\left(\sqrt{x} \right)}$$
Limit(tan(sqrt(x)), x, oo, dir='-')
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
$$\lim_{x \to \infty} \tan{\left(\sqrt{x} \right)} = \left\langle -\infty, \infty\right\rangle$$
$$\lim_{x \to 0^-} \tan{\left(\sqrt{x} \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \tan{\left(\sqrt{x} \right)} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \tan{\left(\sqrt{x} \right)} = \tan{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \tan{\left(\sqrt{x} \right)} = \tan{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \tan{\left(\sqrt{x} \right)} = i$$
More at x→-oo
$$\lim_{x \to 0^-} \tan{\left(\sqrt{x} \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \tan{\left(\sqrt{x} \right)} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \tan{\left(\sqrt{x} \right)} = \tan{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \tan{\left(\sqrt{x} \right)} = \tan{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \tan{\left(\sqrt{x} \right)} = i$$
More at x→-oo
The graph