Vault Of Euclid

Limit of Cosecant Times Natural Logarithm

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\(\lim_{x\to 1} \csc \pi x \cdot \ln x\)
calculus-ievaluate-limitl-hopitalindeterminate-formstrigonometric-functionsnatural-logarithmchain-ruleproduct-to-quotient

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What this problem tests

Tests the ability to recognize a 0 * infinity indeterminate form, convert it to a 0/0 form, and correctly apply L'Hôpital's rule including the chain rule.

This is a standard calculus problem testing the application of L'Hôpital's rule to products that form indeterminate limits.

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