Question
Find the given limit, or state that it does not exist.$$\lim _{x \rightarrow 0} \frac{4 x^{2}-2 \sin x}{x}$$
Step 1
We can do this by dividing each term in the numerator by x. This gives us: $$ \lim _{x \rightarrow 0} \frac{4 x^{2}}{x} - \frac{2 \sin x}{x} $$ which simplifies to: $$ \lim _{x \rightarrow 0} 4x - \frac{2 \sin x}{x} $$ Show more…
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