[lim_(lf)(1+(lambda)/(x)+(mu)/(x^(2)))^(2x)=e^(2)],[" then "]

if lim_(x rarr oo)(1+(lambda)/(x)+(mu)/(x^(2)))^(2x)=e^(2) then

If lim_(x rarr oo)(1+(a)/(x)+(b)/(x^(2)))^(2x)=e^(2) then the values of a and b,are

If y = tan ^(-1) ((2x)/( 1+15x^(2)) ) , and (dy)/(dx) = ( lambda)/( 1+25x^(2)) -( mu)/( 1+9x^(2)) ," then " lambda + mu equal

lim_(x-gtoo\ a t o p x-gtoo)(1+lambda/x+mu/(x^2))^(2x)=e^4t h e nlambda=(mu in R)

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

If lim_(x to 0) (1)/(x^(2)) (e^(2mx) = e^(x) - x) = (3)/(2) then the value of m is _____

If lim_(x -> oo) (1 + a/x + b/x^2)^(2x)= e^2 then the values of a and b, are

lim_(x rarr0)(e^(x)+log(1+x)-(1-x)^(-2))/(x^(2))

lim_(x rarr oo)e^((1)/(x^(2))+2)

lim_(x rarr oo)e^((1)/(x^(2))+2)