For the function

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

For the function h(x)=7x3+23∣x3∣+5h(x)=\dfrac{7x^{3}+2}{3\lvert x^{3}\rvert+5}, determine each of the following limits. (a) lim⁡x→∞h(x)\displaystyle\lim_{x\to\infty}h(x) (b) lim⁡x→−∞h(x)\displaystyle\lim_{x\to-\infty}h(x)

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