Limits of Trig Functions
Read this topicExplanations 3
- There are two important limits involving trig functions that will be used later when finding the derivative of trig functions here. We can use the Squeeze Theorem to evaluate bo…
By Leigh Marie Braswell, Richard Yip, Matt Superdock, Joshua Siktar, Moor Xu, Alex Federspiel
- (Videos) Limit Problems with Trig by PatrickJMT Here's a video by patrickJMT showing some problems of limits involving trig functions. Below are some more examples where he does…
By Alex Federspiel
- (Video) Calculating a Limit Involving sinxx\frac{\sin x}{x}xsinx as xxx Approaches Zero by PatrickJMT Here's a video by patrickJMT showing you how to find the limit of some tr…
By Alex Federspiel
Problems 10
- Evaluate limθ→05sin(θ)4θ\lim_{\theta\to0}{\frac{5\sin(\theta)}{4\theta}}θ→0lim4θ5sin(θ)
- Evaluate limθ→0csc(θ)−cot(θ)θcsc(θ)\lim_{\theta\to0}{\frac{\csc(\theta)-\cot(\theta)}{\theta\csc(\theta)}}θ→0limθcsc(θ)csc(θ)−cot(θ)
- Evaluate limθ→01−cos2(θ)2θ(1+cos(θ))\lim_{\theta\to0}{\frac{1-\cos^2(\theta)}{2\theta(1+\cos(\theta))}}θ→0lim2θ(1+cos(θ))1−cos2(θ)
- Evaluate limθ→02secθθcscθ\lim_{\theta\to0}{\frac{2\sec{\theta}}{\theta\csc{\theta}}}θ→0limθcscθ2secθ
- Evaluate limt→0sin7tt\lim_{t\to0}{\frac{\sin{7t}}{t}}t→0limtsin7t
- Evaluate limθ→0sinθθ+tanθ\lim_{\theta\to0}{\frac{\sin{\theta}}{\theta+\tan{\theta}}}θ→0limθ+tanθsinθ
- Evaluate limθ→0tan3θθ\lim_{\theta\to0}{\frac{\tan{3\theta}}{\theta}}θ→0limθtan3θ
- Evaluate limx→∞xsin(πx)\lim_{x\rightarrow\infty}x\sin\left(\frac{\pi}{x}\right)x→∞limxsin(xπ)
- Evaluate, limθ→0tanθ2θ\lim_{\theta\rightarrow0}\frac{\tan\theta}{2\theta}θ→0lim2θtanθ
- Evaluate, limθ→0θ3cotθ8tanθ\lim_{\theta\rightarrow0}\frac{\theta^3\cot\theta}{8\tan\theta}θ→0lim8tanθθ3cotθ