Summary of Techniques for Finding Limits
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- Calculating Limits Using Limit Laws Assume the limits limx→cf(x)\lim_{x→c} f(x)limx→cf(x) and limx→cg(x)\lim_{x→c} g(x)limx→cg(x) exist. Let aaa be any number. Sum law: lim…
By Vinitha Ranganeni
- (Video) Calculating a Limit by Factoring and Canceling by PatrickJMT Here's a video by patrickJMT showing you how to find a limit of a function using the factor canceling techni…
By Alex Federspiel
- (Video) Calculating a Limit by Expanding and Simplifying by PatrickJMT Here's a video by patrickJMT showing you how to find a limit of a function using the expanding and simplif…
By Alex Federspiel
- (Video) Calculating a Limit by Getting a Common Denominator by PatrickJMT Here's a video by patrickJMT showing you how to find the limit of a function using the common denominat…
By Alex Federspiel
- (Videos) Calculating a Limit by Multiplying by a Conjugate by PatrickJMT Here's a video by patrickJMT showing you how to find the limit of a function using the conjugate techniq…
By Alex Federspiel
- Summary of Techniques for Evaluating Limits In the simplest cases we can evaluate limits by substitution. Other limits, like when we compute derivatives at a point later on, mig…
By Victor Wang
Problems 4
- Evaluate limx→04+x−2x\lim_{x\to0}\frac{\sqrt{4+x}-2}{x}x→0limx4+x−2
- Evaluate limx→−515+1x5+x\lim_{x\to-5}\frac{\frac15+\frac1x}{5+x}x→−5lim5+x51+x1
- Evaluate limx→0(4+x)−1−4−1x\lim_{x\to0}\frac{(4+x)^{-1}-4^{-1}}{x}x→0limx(4+x)−1−4−1
- Evaluate limx→ex2−e22x−2e\lim_{x\rightarrow e}\frac{x^2-e^2}{2x-2e}x→elim2x−2ex2−e2