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let, lim x tends to zero sin2x/tan(x/2)=L 1 ,AND lim x tends to zero e 2x -1/x=L 2 , then what is value of L 1 L 2 ?

let, lim x tends to zero sin2x/tan(x/2)=L1,AND lim x tends to zero e2x-1/x=L2 , then what is value of L1L2 ?

Grade:12

1 Answers

Menka Malguri
39 Points
11 years ago

limit x tends to zero sin2x/tan(x/2)

=lim x tends to zero [(x/2)(2x)sin2x]/[(x/2)(2x)tan(x/2)]

=lim x tends to zero [2x/(x/2)].........(since lim x tends to zero (sinx)/x=1 and lim x tends to zero (tanx)/x=1)

=4.

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