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Mathematics · 2021

JEE Main · 17 March 2021, Shift 1 · Q84

If the function f(x)=(cos ( sin x)- cos x)/x^4 is continuous at each point in its domain and f(0)=1/k, then k is \ \ \ \.

If the function $\displaystyle f(x)=\frac{\cos (\sin x)-\cos x}{x^4}$ is continuous at each point in its domain and $\displaystyle f(0)=\frac{1}{\mathrm{k}}$, then k is \_\_\_\_.
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.