Limit evaluation (multiple choice)

A question is this type if and only if it asks to identify or select the correct limit value from given options, typically involving exponential or logarithmic functions as x→0 or x→∞.

2 questions · Easy -1.1

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AQA Further Paper 1 2024 June Q4

1 marks Moderate -0.5

Which one of the following statements is correct? Tick (\(\checkmark\)) one box. [1 mark] \(\lim_{x \to 0}(x^2 \ln x) = 0\) \(\square\) \(\lim_{x \to 0}(x^2 \ln x) = 1\) \(\square\) \(\lim_{x \to 0}(x^2 \ln x) = 2\) \(\square\) \(\lim_{x \to 0}(x^2 \ln x)\) is not defined. \(\square\)

AQA Further Paper 2 2023 June Q2

1 marks Easy -1.8

Which one of the expressions below is not equal to zero? Circle your answer. [1 mark] \(\lim_{x \to \infty} (x^2e^{-x})\) \quad \(\lim_{x \to 0} (x^5 \ln x)\) \quad \(\lim_{x \to \infty} \left(\frac{e^x}{x^5}\right)\) \quad \(\lim_{x \to 0^+} (x^3e^x)\)