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lim(x to 2) (2^(x) + 2^(2 -x) - 5)/((1)/...

`lim_(x to 2) (2^(x) + 2^(2 -x) - 5)/((1)/(sqrt(2^(x))) + lambda (2)^(1 - x)) (lambda in R)` has non zero value, which can be

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The correct Answer is:
12
For `lambda = -1 ` we get : from
(For `lambda ne -1`, limiting value is 0)
Applying LH Rule .
`therefore " " underset(xto2)(lim) (2^(x) .log 2-2^(2-x) .log^(2))/(2^(-x//2).log2(-(1)/(2)) + 2^(1-x) log2) lambda=-1`
`" " = underset(x to 2)(lim) (2^(2)x - 2^(2-x))/(-(2^(-(x)/(2)))/(2) + 2^(1-x)) = (4-1)/(-(1)/(4) +(1)/(2) ) = (3)/((1)/(4)) = (12)`
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