
This is not true. Berserk increases your attack power by 50%, not your damage. The end result is that the damage increases is actually lower than 50%.Berserk provides 50% increased damage for 20 seconds followed by 5 seconds of only auto-attack damage every 90 seconds. Split this up into auto-attack contribution and ability contribution.
Auto attack contribution gets 11.11% (50% for 20 seconds every 90 seconds). The ability contribution is substantially lower because you have 5 seconds of Pacification. As such, you get 20 seconds of 1.5x performance, 5 seconds of 0 performance, and 65 seconds of 1.0x performance, which totals out to 5.56% better than average. I was only doing the ability damage contribution (which means I need to go back and fix that math to account for auto-attacks).
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