Question

Let f(x)=(tanx)/x and Lim x→0 ([f(x)]+x^2)^1/{f(x)} = e^lamda. Then find the value of lamda ?Where [.] Is G.I.F and {.} Is Fractional part​

Answer 1

welcome to the concept of calculus.

calculus

formula used

Lim x tends to 0 tan/x= 1

Lim x tends to a [ f(x) ]^g(x)

=e ^lim x tends to a [f(x) -1 ]/g(x)

fractional part and greatest integer function properties are also used.

lim x tends to 0 (x / sinx)= 1

yr answer is 3....

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