2. [-/2 Points] DETAILS Example 3 Video Example 43 Calculate lim Solution Since In(2x) and In(2x) √√x lim X In(2x) lim 2

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2 2 Points Details Example 3 Video Example 43 Calculate Lim Solution Since In 2x And In 2x X Lim X In 2x Lim 2 1 (46.14 KiB) Viewed 66 times

2. [-/2 Points] DETAILS Example 3 Video Example 43 Calculate lim Solution Since In(2x) and In(2x) √√x lim X In(2x) lim 21W Vx In(2x) = lim VX Solution - lim Jw Need Help? Read It 3. [-/3 Points] DETAILS Example 6 Video Example Evaluate lim xIn(x²) x-D Notice that the limit on the right side is now indeterminate of type. But instead of applying I'Hospital's Rule a second time as we did in this example, we simplify the expression and see that a second application is unnecessary. 0 limx In(x) lim = *-07 rint - lim x+0+ - lim SCALCET9 4.4.AE.003. X-3/4 X In(x²) 1 2 →∞as x→a, l'Hospital's Rule applies. = lim - lim The given limit is indeterminate because, as x 0+, the first factor (x) approaches 4 mw√√√x 1 1 SCALCET9 4.4.AE.006. while the second factor In(x2) approaches. Writing x = 1 O. we have as x 0+, so l'Hospital's Rule gives the following.