# How can ı solve this problem without using L'hopital? ln(ln(x)) as x goes +infinity

This limit cannot be found using l'Hopital.

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As x approaches positive infinity, the natural logarithm of the natural logarithm of x, ln(ln(x)), also approaches positive infinity.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you find the limit of # (1/(h+2)^2 - 1/4) / h# as h approaches 0?
- What are the asymptotes of #f(x)=-x/((x-2)(4x-3) #?
- What is the limit of #sin((x-1)/(2+x^2))# as x approaches infinity?
- How do you find the limit of #(x+5)/(25-x^2)# as x approaches #5^-#?
- For what values of x, if any, does #f(x) = 1/((x-5)(x+6)) # have vertical asymptotes?

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