`("lim")_(xvec0)((1+5x^2)/(1+3x^2))^1//x^2=____`

lim_(x->0)((1+5x^2)/(1+3x^2))^(1//x^2)=____

lim_(x rarr 0)((5x^2+1)/(3x^2+1))^(1//x^2)

lim_(x rarr0)((1+5x^(2))/(1+3x^(2)))^(1/x^(2))=

lim_( x to 0) ((1+5x^(2))/(1+3x^(2)))^(1//x^(2)) = … .

Evaluate: ("lim")_(xvec0) ((1+x)^(1/x)-e+1/2e x)/(x^2)

Evaluate: ("lim")_(xvec0)(cos^(-1)((1-x^2)/(1+x^2)))/(sin^(-1)x)

f(x) is polynomial function of degree 6, which satisfies ("lim")_(xvec0)(1+(f(x))/(x^3))^(1/x)=e^2 and has local maximum at x=1 and local minimum at x=0a n dx=2. Column I, Column II The coefficient of x^6 , p. 0 The coefficient of x^5 , q. 2 The coefficient of x^4 , r. -(12)/5 The coefficient of x^3 , s. 2/3

lim_(x rarr0)((5x^(2)+1)/(3x^(2)+1))^(1/x^(2))