Need help with this limit equation please? #lim_(x→0^+)# #x^4 ln(x)#

Question

Use a table of values to estimate the value of the limit. If you have a graphing device, use it to confirm your result graphically. (Round your answer to two decimal places.)

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Answer 1 · 2018-04-20T10:22:26

#lim_(xto0^+)x^4ln(x)=0#

#f(x)=x^4ln(x)#

#[(x,f(x)),(1,0),(0.1,-2.30*10^-4),(0.01,-4.61*10^-8),(0.001,-6.91*10^-12)]#

As #x# tends to #0# from the right hand side, #f(x)# stays on the negative side when #x<1#, but the values themselves get closer to 0 when #x->0#

#lim_(xto0^+)x^4ln(x)=0#

graph{x^4ln(x) [-0.05 1, -0.1, 0.01]}