find the limit if it exist :
lim (1/[x+Δχ] - 1/x) / Δχ
The Attempt at a Solution
lim (1/[x+Δχ] - 1/x) / Δχ => lim -Δχ /(x+ Δx) / Δχ
then what ? do i cancel the ΔX in the numerator with that in the denominator ? or whats the next step to solve this problem and did I do any mistake?