" ind "quad (i)Lt_(x rarr2)[x]

" Let "a=min{x^(2)+2x+3,x in R}" and ", b=Lt_(x rarr0)(64)/(x^(4))[1-cos(x/2)-cos(x/4)+cos(x/2)cos(x/4)] then find the value of a and b

If (x)={2x+b,(x

If Lt_(x rarr3)[f(x)+g(x)]=2 and Lt_(x rarr3)[f(x)-g(x)]=1 then write thew value of Lt_(x rarr3)f(x)g(x)

Find the limits (i) (lim)_(x rarr1)[(x^(2)+1)/(x+100)] (ii) (lim)_(x rarr2)[(x^(3)-4x^(2)+4x)/(x^(2)-4)]

Evaluate (Lt)_(x rarr2^(-))(|x-2|)/(x-2)

Examine the continuity of the function f defined by f(x)=Lt_(n rarr oo)(x)/((2sin x)^(2x)+1)

Show that Lt_(x rarr2^(-))(|x-2|)/(x-2)=-1

Let f(2)=4,f'(2)=4 .Then Lt_(x rarr2)(xf(2)-2f(x))/(x-2) is :

f(x)={x if x is rational -x if x is irrational then Lt_(x rarr0)f(x)=

Evaluate...(01) Lt_(x rarr0)f(x)={(|x-1|-1)/(x),x>0(x+1)^(2-((1)/(x)+(1)/(x))),x