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Hey people !

As each day passes, math keeps getting harder and harder -_-

First question -

lim x ----> 0 (e^x-1)/x

2nd question -

If 2A plus B = Π/4 (thats pi btw)

Prove that,  tan B = (1 - 2 tan A - tan ^2 A)

                                1 plus tan A - tan ^2 A

Hence show that tan Π/8 is a root of the equation x^2 plus 2x - 1 = 0 and that its value is √2 - 1

If the other root is tan θ , find θ in the (0,Π) range.

Go !! (Need these with steps if possible)..