Answer the questions that follow.

CHEMISTRY · Multi-part · ISC · Chemistry · Electrochemistry · Electrochemical cells

Problem

Answer the questions that follow. (i) Establish the identity

1-\cos x = 2\sin^{2}\dfrac{x}{2}

. (ii) Using the identity in part (i), determine

\displaystyle\lim_{x\to 0}\dfrac{1-\cos 4x}{x^{2}}

. Present your working in a logical sequence.

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