[" If "|x|<1," then "Lt'(1+x)(1+x^(2))(1+x^(4))...n" factors ")=],[[" 1) "(1)/(x-1)," 2) "0," 3) "1-x]]

" If "f(x)=|[x,sin x,cos x],[x^(2),tan x,-x^(3)],[2x,sin2x,5x]|" ,then "lim_(x rarr0)(f'(x))/(x)=

If |(a+x, a-x, a-x),(a-x,a+x,a-x),(a-x,a-x,a+x)|=0 then

If f(x)=|{:(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1)):}| then

Using the properties of determinants, solve the following for x |{:(a+x,a-x,a-x),(a-x,a+x,a-x),(a-x,a-x,a+x):}|=0

Using properties of determinants, solve for x:|[a+x, a-x, a-x],[ a-x, a+x, a-x],[ a-x, a-x, a+x]|=0

Using properties of determinants, solve for x:|[a+x, a-x, a-x],[ a-x, a+x, a-x],[ a-x, a-x, a+x]|=0

Using properties of determinants, solve for x:|[a+x, a-x, a-x], [a-x, a+x, a-x], [a-x, a-x ,a+x]|=0

Solve for x: |[x,c+x,b+x],[c+x,x,a+x],[b+x,a+x,x]|=0

Solve for x: |(x+9,x,x),(x,x+9,x),(x,x,x+9)|=0