Evaluate the Given limit: $$\lim\limits_{x \to π} \dfrac{sin( π-x)}{ π( π-x)}$$

Asked by Abhisek | 1 year ago |  146

#### 1 Answer

##### Solution :-

$$\lim\limits_{x \to π} \dfrac{sin( π-x)}{ π( π-x)}$$

It is seen that x → π ⇒ (π - x) → 0

$$\dfrac{1}{π} \lim\limits_{π-x \to 0} \dfrac{sin( π-x)}{( π-x)}$$

$$\dfrac{1}{π}\times 1$$

$$\dfrac{1}{π}$$

Answered by Pragya Singh | 1 year ago

### Related Questions

#### Differentiate with respect to x xn loga x

Differentiate with respect to x xn loga x

Class 11 Maths Limits and Derivatives View Answer

#### Differentiate with respect to x xn tan x

Differentiate with respect to x xn tan x

Class 11 Maths Limits and Derivatives View Answer

#### Differentiate with respect to x x2 ex log x

Differentiate with respect to x x2 ex log x

Class 11 Maths Limits and Derivatives View Answer

#### Differentiate with respect to x x3 ex

Differentiate with respect to x x3 ex

Class 11 Maths Limits and Derivatives View Answer

#### Differentiate with respect to x  x3 sin x

Differentiate with respect to x  x3 sin x

Class 11 Maths Limits and Derivatives View Answer