Mister Exam
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How to use it?
- Limit of the function:
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Limit of ((3+4*x)/(-1+4*x))^(-3+2*x)
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Limit of (-3-5*x+2*x^2)/(-9+x^2)
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Limit of 1/(sqrt(1+x)-sqrt(x))
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Limit of (1-cos(2*x))*sin(x)/x
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Identical expressions
- one /(sqrt(one +x)-sqrt(x))
- 1 divide by ( square root of (1 plus x) minus square root of (x))
- one divide by ( square root of (one plus x) minus square root of (x))
- 1/(√(1+x)-√(x))
- 1/sqrt1+x-sqrtx
- 1 divide by (sqrt(1+x)-sqrt(x))
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Similar expressions
- 1/(sqrt(1-x)-sqrt(x))
- 1/(sqrt(1+x)+sqrt(x))
Limit of the function 1/(sqrt(1+x)-sqrt(x))
The solution
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1
lim -----------------
x->oo _______ ___
\/ 1 + x - \/ x
$$\lim_{x \to \infty} \frac{1}{- \sqrt{x} + \sqrt{x + 1}}$$
Limit(1/(sqrt(1 + x) - 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
The graph