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Answer :
L'Hôpital's rule cannot be used in any step of the solution for these expressions.
You cannot use L'Hôpital's rule in the following expressions:
1. lim x→1+ ln(x) / x
L'Hôpital's rule cannot be applied here because the limit involves the natural logarithm function, and the rule is not applicable to logarithmic functions directly.
2. lim x→0 kxsin(kx), where k ≠ 0
L'Hôpital's rule cannot be applied here because the limit involves the product of x and sin(kx), and the rule is not applicable to products of functions directly.
3. lim x→0 (cot(x) - csc(x))
L'Hôpital's rule cannot be applied here because the limit involves trigonometric functions (cot(x) and csc(x)), and the rule is not applicable to trigonometric functions directly.
4. lim x→3 arctan(x) / (x - 1)
L'Hôpital's rule cannot be applied here because the limit interval involves the arctan function, and the rule is not applicable to inverse trigonometric functions directly.
Therefore, L'Hôpital's rule cannot be used in any step of the solution for these expressions.
Learn more about interval here: brainly.com/question/11051767
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