Question

Lt
x->0 sin3x.sin4x / x.tan5x =

Answer 1

Answer:

Lt

x->0 sin3x.sin4x / x.tan5x =

Answer 2

The limit of the given equation is 12/5.

Given:

sin3x.sin4x / x.tan5x

To Find:

The limit of the given equation.

Solution:

sin3x.sin4x / x.tan5x

Multiple and divide by 3 and 4 in the numerator and by 5 in the denominator

$\lim_{x \to \ 0} \frac{3*\frac{sin3x}{3x} 4*\frac{sin4x}{4x} }{5*\frac{tan5x}{5x} }$

We know that, $\lim_{x \to \ 0} \frac{sinx}{x} = 1 , \lim_{x \to \ 0} \frac{tanx}{x} = 1$

⇒ ( 3 * 1 *4 *1) /(5 * 1)

⇒ 12/5

∴ The limit of the given equation is 12/5.

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