What is the limit as x approaches infinity of #e^(-x^2)#? Calculus Limits Determining Limits Graphically 1 Answer Rhys May 20, 2018 # = 0 # Explanation: as # x to oo => x^2 to oo => -x^2 to -oo # As #x to oo => e^(-oo) = 1/e^oo = 1/ oo to 0 # # = 0 # Shown graphically: Answer link Related questions How do you find #lim_(x->5)(x^2+2)# using a graph? How do i graph limits? How do you find limits on a graphing calculator? How do you use a graph to determine limits? What is the limit as x approaches infinity of a constant? What is the limit as x approaches infinity of #6cos(x)#? What is the limit as x approaches infinity of #1.001^x#? What is the limit as x approaches 0 of #x/arctan(4x)#? What is the limit as x approaches 0 of #cotx/lnx#? What is the limit as x approaches 0 of #(1+2x)^cscx#? See all questions in Determining Limits Graphically Impact of this question 8071 views around the world You can reuse this answer Creative Commons License