Practice problem
Let fff and ggg be functions. If g(c)=0g(c) = 0g(c)=0 for some c∈Rc \in \mathbb{R}c∈R, will fgg\frac{fg}{g}gfg always have a removable discontinuity at ccc?
Yes
Yes, if ggg is continuous.
Yes, if fff is continuous.
Yes, if ggg and fff are both continuous.
Yes, if fff is continuous and g(x)≠0g(x) \not= 0g(x)=0 for x≠cx \not= cx=c.
Yes, if ggg and fff are both continuous and f(x)≠0f(x) \not= 0f(x)=0 for x≠cx \not= cx=c.
No, this function will never have a removable discontinuity at ccc.
Type a concept, like “slope” or “photosynthesis”.