Evaluate the Given limit:$$\lim\limits_{x \to 0} \dfrac{sinax}{bx}$$

Asked by Abhisek | 1 year ago |  72

##### Solution :-

$$\lim\limits_{x \to 0} \dfrac{sinax}{bx}$$

At x = 0, the value of the given function takes the form $$\dfrac{0}{0}$$

Now,

$$\lim\limits_{x \to 0} \dfrac{sin\;ax}{bx}$$

$$\lim\limits_{x \to 0} \dfrac{sin\;ax}{ax}\times \dfrac{ax}{bx}$$

$$\lim\limits_{x \to 0} \dfrac{sin\;ax}{ax}\times \dfrac{a}{b}$$

$$\dfrac{a}{b} \lim\limits_{ax \to 0} \dfrac{sin\;ax}{ax}$$

$$\dfrac{a}{b}\times 1$$

$$\dfrac{a}{b}$$

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

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

Differentiate with respect to x xn tan x

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

Differentiate with respect to x x2 ex log x