Question

evaluate lim x tends to zero (tan x)^(sin2x)​

Answer 1

Step-by-step explanation:

100 hundreds = thousand

Answer 2

Answer:

lim x->0 (tanx)^sin2x

Let,    y = (tanx)^sin2x

lim x->0 y = (tanx)^sin2x

lim x->0 logy = sin2x . log(tanx)

Solving R.H.S-

log(tanx) / (1/sin2x)

Applying L hospital rule-

Sin2x/cos2x

= tan2x

Now,

Lim x->0 log y = tan2x

y = e^0

y = 1

so, lim x->0 (tanx)^sin2x the Answer is 1