- #1
rohitmishra
- 7
- 0
Suppose f:R->R , Lim (x->0) f(x) = L. and a>0.
Define g:R->R by g(x)= f(ax). Prove that Lim (x->0) g(x) = L ?
My Solution.
I am not able to prove it as equal to L.
From what I get it is
Lim (x->0) g(x)
Lim (x->0) a * f(x)
a* Lim (x->0) f(x)
a* L = aL ??
I have to prove Lim (x->0) g(x) = L.
Help me out
Define g:R->R by g(x)= f(ax). Prove that Lim (x->0) g(x) = L ?
My Solution.
I am not able to prove it as equal to L.
From what I get it is
Lim (x->0) g(x)
Lim (x->0) a * f(x)
a* Lim (x->0) f(x)
a* L = aL ??
I have to prove Lim (x->0) g(x) = L.
Help me out