Question

Lim/ x tends to π\3(√3-tan x/π-3x)​

Answer 1

Answer:

In △ABC AB=AC

⇒∠B=∠C (Angles opposite to equal sides are equal)

Now using angle sum property

∠A+∠B+∠C=180

∘

⇒80

∘

+∠C+∠C=180

∘

⇒2∠C=180

∘

−80

∘

⇒∠C=

2

100

∘

=50

∘

now ∠C+∠x=180

∘

(Angles made on straight line (AC) are supplementary)

⇒50

∘

+∠x=180

∘

⇒∠x=180

∘

−50

∘

=130

∘

@ARSH

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Answer 2

Answer:

4/3

Step-by-step explanation:

√3 - Tanx / π-3x

By putting lim x = π/3 it comes in 0/0 form

so by l hospital rule

= √3 - Tanx / π-3x

= -sec²/3

=(-2)²/3

=4/3