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lim 4x-1 x->1/4 2x1/2 - 1
lim 4x-1
x->1/4 2x1/2 - 1
lim 4x-1/2x1/2-1 x-->1/4 4x-1 can be written as (2x1/2 )2 -12 [a2-b2=(a-b)(a+b)] =(2x1/2-1)(2x1/2+1) now we have lim x-->1/4 (2x1/2-1)(2x1/2+1)/(2x1/2-1) lim x-->1/4 (2x1/2+1) taking limit we get limit = 2 ans
lim 4x-1/2x1/2-1
x-->1/4
4x-1 can be written as (2x1/2 )2 -12 [a2-b2=(a-b)(a+b)]
=(2x1/2-1)(2x1/2+1)
now we have
lim x-->1/4 (2x1/2-1)(2x1/2+1)/(2x1/2-1)
lim x-->1/4 (2x1/2+1)
taking limit we get
limit = 2 ans
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