`(lim)_(hvec0)((e+h)^(1n(e+h))-e)/hi s____`

lim_(hrarr0) ((e+h)^(In(e+h))-e)/(h) is-

lim_(h rarr0)((e+h)^(ln(e+h))-e)/(h)quad is

Evaluate the limit: ("lim")_(hvec0)[1/(h(8+h)^(1/3))-1/(2h)]

Evaluate (lim)_(hvec0)((a+h)^2sin^(-1)(a+h)-a^2sin^(-1)a)/h

If f is an even function such that (lim)_(hvec0)(f(h)-f(0))/h has some finite non-zero value, then prove that f(x) is not differentiable at x=0.

If f is an even function such that (lim)_(hvec0)(f(h)-f(0))/h has some finite non-zero value, then prove that f(x) is not differentiable at x=0.

If f is an even function such that (lim)_(hvec0)(f(h)-f(0))/h has some finite non-zero value, then prove that f(x) is not differentiable at x=0.

lim_ (h rarr0) (e ^ (tanh-1)) / (h)

If f^(prime)(a)=1/4, t h e n(lim)_(hvec0)(f(a+2h^2)-f(a-2h^2))/(f(a+h^3-h^2)-f(a-h^3+h^2))= 0 b. 1 c. -2 d. none of these