Define . What is the nature of at…

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Define h(x)=sin⁡x+∣x∣h(x)=\sin x+|x|. What is the nature of hh at x=0x=0? (a) Jump discontinuity at x=0x=0 (b) Continuous at x=0x=0 (c) Infinite discontinuity at x=0x=0 (d) Removable discontinuity at x=0x=0

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