Find : `("lim")_(x->-5//2)\ [x]dot`

Find :(lim)_(x rarr-5/2)[x]

Find:(lim)_(x rarr(5)/(2))[x]

Find ("lim")_(x->1^+)1/(x-1)dot

Find ("lim")_(x->1^+)1/(x-1)dot

If ("lim")_(x->a)[f(x)+g(x)]=2a n d ("lim")_(x->a)[f(x)-g(x)]=1, then find the value of ("lim")_(x->a)f(x)g(x)dot

Evaluate ("lim")_(x -> 0)(x-sinx)/(x^3)dot (Do not use either LHospitals rule or series expansion for sinxdot)dot Hence, evaluate ("lim")_(x -> 0)(sinx-xcosx+x^2cotx)/(x^5)

Evaluate the following limit: (lim)_(x->a)((x+2)^(5//2)-(a+2)^(5//2))/(x-a)

Evaluate the following limit: (lim)_(x->a)(x^(5//7)-a^(5//7))/(x^(2//7)-a^(2//7)\ )

If [dot] denotes the greatest integer function, then find the value of lim_(x->0) ([x]+[2x]++[n x])/(n^2)

If [dot] denotes the greatest integer function, then find the value of lim_(x->0) ([x]+[2x]++[n x])/(n^2)