`lim_(x-gt2)(5^(-x)-(0. 04))/(x-2)`

Lt_(x to2)(5^(-x)-0.04)/(x-2)=

The value of lim_(x to 0)(5^(x)-5^(-x))/(2x)=

lim_(x-gt0) (e^(3x)-1)/(log(1+5x))

Which of the following is/are true? (a) lim_(x->oo)((2+x)^(40)(4+x)^5)/((2-x)^(45))=1 (b) lim_(x->0)(1-cos^3x)/(xsinxcosx)=3/2 (c) lim_(x->0)(ln(1+2x)-2"ln"(1+x))/(x^2)=-1 (d) lim_(x->oo)(cot^(-1)(sqrt(x+1)-sqrt(x)))/(sec^1((2x+1)/(x-1)^2)=1

The value of lim_(x to 0) (5^x - 5^(-x) )/(2x) is

Evaluate lim_(x to 0) ("sin"(5x)/(4))/(x^(2))

Find the limits (i) (lim)_(x->1)[(x^2+1)/(x+100)] (ii) (lim)_(x->2)[(x^3-4x^2+4x)/(x^2-4)]

Evaluate the limits, if exist lim_(x-gt0)(log_e(1+2x))/(x)

Find lim_(x rarr 0.4)( f(x)- f(0.4))/(g(x)-g(0.4))

lim_(x->0) (ln(2+x)+ln0.5)/x