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