In the course of proving the Constant Multiple Rule
MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity
Problem
In the course of proving the Constant Multiple Rule, a student writes
F′(x)=h→0limhcf(x+h)−cf(x)(1)=ch→0limhf(x+h)−f(x)(2)
Which property of limits justifies the transition from step (1) to step (2)? State this property.