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If f(x)f(x)f(x) is the function f(x)={−x+10 if ∣x∣≤2,2x2 if ∣x∣>2,f(x)= \begin{cases} -x+10 & \text{ if } \lvert{x}\rvert \leq 2, \\ 2x^2 & \text{ if } \lvert{x}\rvert > 2, \end{cases} f(x)={−x+102x2 if ∣x∣≤2, if ∣x∣>2, what is limx→2+f(x)?\displaystyle \lim_{x \to 2^+} f(x)?x→2+limf(x)?
What is the value of
limx→3−x2−1x−2? \lim_{x \to 3^-} \frac{x^2 - 1}{x-2}? x→3−limx−2x2−1?
Find the limit of
limx→−1+x2+x∣x+1∣. \lim_{x \to -1^+} \frac{x^2+x}{ |x+1| }. x→−1+lim∣x+1∣x2+x.
What is the value of limx→0+∣4x∣x−limx→0−∣4x∣x?\lim_{x \to 0^+} \frac{\lvert{4x}\rvert}{x}-\lim_{x \to 0^-} \frac{\lvert{4x}\rvert}{x}?x→0+limx∣4x∣−x→0−limx∣4x∣?
limx→3+x−3? \lim_{x \to 3^+} \sqrt{x-3} ? x→3+limx−3?
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