$$\text { Show that } 3 ^ { n }

Question

$$\text { Show that } 3 ^ { n } < n \text { ! whenever } n \text { is an integer with } n \geq 7 \text {. }$$

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The Answer of $$\text { Show that } 3 ^ { n } < n \text { ! whenever } n \text { is an integer with } n \geq 7 \text {. }$$

Show that 3n<n ! whenever n is an integer with n≥7. \text { Show that } 3 ^ { n } < n \text { ! whenever } n \text { is an integer with } n \geq 7 \text {. } Show that 3n<n ! whenever n is an integer with n≥7.