What is # lim_(x rarr 0) (h(3+x)-h(3) )#? Calculus Limits Introduction to Limits 1 Answer Steve M Jul 17, 2017 # lim_(x rarr 0) (h(3+x)-h(3) ) = lim_(x rarr 0) (h(3+x)-h(3) ) # # " " = lim_(x rarr 0) h(3+x) - lim_(x rarr 0) h(3) # # " " = h(3) - h(3)# # " " = 0# Answer link Related questions How doI find limits in calculus? How do limits work in calculus? What exactly is a limit in calculus? What is the purpose of a limit in calculus? What is rational function and how do you find domain, vertical and horizontal asymptotes. Also... lim x-->-1- f(x) = ? How do you use the Squeeze Theorem to show that #limsinx/x# as x approaches infinity? How do you use the Squeeze Theorem to show that #sqrt (x) * e^(sin(pi/x))=0# as x approaches zero? How do you use the Squeeze Theorem to find #lim xcos(1/x)# as x approaches zero? How do you use the Squeeze Theorem to find #lim x^2 (Sin 1/x)^2 # as x approaches zero? See all questions in Introduction to Limits Impact of this question 1630 views around the world You can reuse this answer Creative Commons License