`lim_(x->oo) ((x+lambda)/(x-lambda))^x=4` then `lambda`

lim_(x rarr5)(x^(lambda)-5^(lambda))/(x-5)

If f(x)=sum_(lambda=1)^(n)(x-(5)/(lambda))(x-(4)/(lambda+1)) then lim_(n rarr oo)f(0) is equal to

If f(x)=sum_(lambda=1)^(n)(x-(5)/(lambda))(x-(4)/(lambda+1)) then lim_(n rarr oo)f(0) is equal to

If alpha in(0,1) and f:R rarr R and lim_(x rarr oo)f(x)=0,lim_(x rarr oo)(f(x)-f(alpha x))/(x)=0 then lim_(x rarr oo)(f(x))/(x)=lambda where 2 lambda+7 is

If alpha in(0,1) and f:R->R and lim_(x->oo)f(x)=0,lim_(x->oo)(f(x)-f(alphax))/x=0, then lim_(x->oo)f(x)/x=lambda where 2lambda+7 is

lim_(x->pi)(2-lambda/x)^(2tan((pipi)/(2lambda)))=1/e, then lambda is equal to -

If |(x+lambda,x,x),(x,x+lambda,x),(x,x,x+lambda)| = 0, (lambda != 0) then a) x = - lambda//3 b) x = 3 lambda c)x = 0 d)None of these

If (x+y)^(2)=2(x^(2)+y^(2)) and (xy+lambda)^(2)=4,lambda>0, then lambda is equal to

If (x+y)^(2)=2(x^(2)+y^(2)) and (x-y+lambda)^(2)=4,lambda>0 then lambda is equal to