4. `lim_(x->o) (1+2x)^(5/x)`

Evaluate lim_(x to 0) (tan 5x)/(2x)

The value of lim_(x to 0) (15^(x) - 5^(x) - 3^(x) + 1)/(1 - cos 2x) is

lim_(x rarr0)(2^(5x)-1)/(x)

lim_(x rarr0)(1+2x)^((x+5)/(x))

Evaluate : lim_( x -> o ) cosx/((1-e^x))

The value of lim_( x -> 0 ) ( ( x + 1 )^5 - 1 ) / x

The value of lim_(x to 1) (x^(5) - 3x + 2)/(x - 1) equals

Statement 1: lim_ (x rarr oo) ((1 ^ (2)) / (x ^ (3)) + (2 ^ (2)) / (x ^ (3)) + (3 ^ (2)) / (x ^ (3)) + ...... + (x ^ (2)) / (x ^ (3))) = lim_ (x rarr oo) (1 ^ (2)) / (x ^ ( 3)) + lim_ (x rarr oo) (2 ^ (2)) / (x ^ (3)) + ...... + lim_ (x rarr a) (x ^ (2)) / (x ^ (3)) lim_ (x rarr a) (f_ (1) (x) + f_ (2) (x) + ... + f_ (n) (x)) = lim_ (x rarr a) f_ (1) (x) + lim_ (x rarr a) f (x) + ...... + lim_ (x rarr a) f_ (n) (x)

Lim_(xrarroo)(1+5/x)^x