Limit
lim x→π/4 2 sin ax cos ax / tan² x = -1
lim x→45° sin (2ax) / tan² x = -1
sin (2a.45°)/tan² 45° = -1
sin (90°a)/1² = -1
sin (90°a) = -1
90° a = 270°
a = 270°/90°
a = 3
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Verified answer
Limit
lim x→π/4 2 sin ax cos ax / tan² x = -1
lim x→45° sin (2ax) / tan² x = -1
sin (2a.45°)/tan² 45° = -1
sin (90°a)/1² = -1
sin (90°a) = -1
90° a = 270°
a = 270°/90°
a = 3