What is the limit as x approaches 0 of xcos(3x) ?

The limit as x approaches 0 of xcos(3x) is 0

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limit as x approaches 0 of xcos(3x)

x \to 0 lim (x cos (3 x))

0

Solution steps

x \to 0 lim (x cos (3 x))

Plug in the value

x = 0

= 0 \cdot cos (3 \cdot 0)

Simplify

0 \cdot cos (3 \cdot 0) : 0

= 0

x \to 0 lim ((x^{2})^{x})

x \to - \infty lim (- 6)

x \to 3 lim (3 x^{2} + 2 x + 1)

x \to \frac{π}{6} lim (cos (x))

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

What is the limit as x approaches 0 of xcos(3x) ?
The limit as x approaches 0 of xcos(3x) is 0