Limit of a Continuous Function at a Point
Read this topicExplanations 2
- For functions that are continuous at a point, the limit at that point is very easy: it's the same as the function's actual value. If you get a "nice" function all by itself in a…
By Brian Chen, Alex Federspiel
- (Video) Limit Laws to Evaluate a Limit by PatrickJMT Here's a video by patrickJMT going over a limit law about the limit of a continuous function at a point. The law states: If …
By Alex Federspiel
Problems 7
- Evaluate, limx→47x2−9\lim_{x\rightarrow4}\frac7{x^2-9}x→4limx2−97
- Evaluate, limx→3x3−3x2+18x−20\lim_{x\rightarrow3}x^3-3x^2+18x-20x→3limx3−3x2+18x−20
- Evaluate, limx→7ln(x−6)\lim_{x\rightarrow7}\ln(x-6)x→7limln(x−6)
- Evaluate limx→0sin23x.\lim_{x\rightarrow0}\sin^23x.x→0limsin23x.
- Evaluate, limx→−53x∣x+6∣\lim_{x\rightarrow-5}\frac{3x}{|x+6|}x→−5lim∣x+6∣3x
- Evaluate, limx→9(6x)(2x+1)2(x−3)\lim_{x\rightarrow9}(6x)(2x+1)^2(\sqrt x-3)x→9lim(6x)(2x+1)2(x−3)
- Evaluate, limx→24y\lim_{x\rightarrow2}4yx→2lim4y