What is the limit as x approaches 3 of 5x*cot^2(x) ?

The limit as x approaches 3 of 5x*cot^2(x) is 15cot^2(3)

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limit as x approaches 3 of 5x*cot^2(x)

x \to 3 lim (5 x \cdot cot^{2} (x))

15 cot^{2} (3)

Decimal

738.20652 \dots

Solution steps

x \to 3 lim (5 x cot^{2} (x))

Plug in the value

x = 3

= 5 \cdot 3 cot^{2} (3)

Simplify

= 15 cot^{2} (3)

x \to 3 lim (ln (x) + 99)

x \to 3 lim (10 x^{\frac{1}{x}})

x \to 3 lim ((- 1)^{x} + 1)

x \to 3 lim (\frac{x}{2 ^{x}})

x \to 3 lim (\frac{2 x + 1}{5 x - 2})

What is the limit as x approaches 3 of 5x*cot^2(x) ?
The limit as x approaches 3 of 5x*cot^2(x) is 15cot^2(3)