t's consider the limit given by:lim𝑥→0−sin(2𝑥)𝑥3⋅1−cos(2𝑥)cos(2𝑥)lim x→0 − x 3 sin(2x) ⋅ cos(2x)1−cos(2x)
Question
Solution 1
The given limit is:
lim (x→0) [ -sin(2x) / x³ ] * [ cos(2x) / 1 - cos(2x) ]
This limit can be solved by using L'Hopital's Rule, which states that the limit of a quotient of two functions as x approaches a certain value is equal to the limit of the quotients of their derivatives.
First, let's rewr Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv
Similar Questions
Consider the function f: R→R defined by f(x)=sin(x)+cos(2x). Which of the following statements about f(x) is true?
t's consider the limit given by:lim𝑥→0−sin(2𝑥)𝑥3⋅1−cos(2𝑥)cos(2𝑥)lim x→0 − x 3 sin(2x) ⋅ cos(2x)1−cos(2x)
Find all solutions if 0 ≤ x < 2𝜋. Use exact values only. (Enter your answers as a comma-separated list.)cos 2x cos x − sin 2x sin x = 22x =
The output ofIntegrate[Sin[x], {x, 0, 1}]is a.1 - Cos[1]b.1 - Sin[1]c.Sin[1]d.Cos[1]
Find sin(2x), cos(2x), and tan(2x) from the given information.tan(x) = − 125, x in Quadrant II