The value of limx→(π)/3(2-√3sin⁡x-cos⁡x)/(3x-π^2) is equal to the reciprocal of the number

Question

MARKS Content Team · Accepted Answer

Correct answer: 9. limx→(π)/3(2-2√32sin⁡x+12cos⁡x3x-π^2⇒lim)/(x→π3)(2-2cosx-π)/33x-π^2 Let, x-(π)/3=t ⇒limt→0(2-2cos⁡t3t^2=lim)/(t→021-cos⁡t9t^2)=2/9⋅1/2=1/9

The value of $\underset{x \to \frac{π}{3}}{l i m} \frac{2 - \sqrt{3} \sin x - \cos x}{{(3 x - π)}^{2}}$ is equal to the reciprocal of the number

Solution

More Limits Questions

The value of limx→π32-3sin⁡x-cos⁡x3x-π2 is equal to the reciprocal of the number

Solution

More Limits Questions

The value of $\underset{x \to \frac{π}{3}}{l i m} \frac{2 - \sqrt{3} \sin x - \cos x}{{(3 x - π)}^{2}}$ is equal to the reciprocal of the number