MY NOTES ASK YOU Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. lim (ex + 14x)1/x X- 00 Need Help? Read It
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- limx → 1 (x-2) / (x-1)2 how do I calculate the following limit without using the L'Hospital's ruleEvaluate the limit numerically or state that the limit doesn't exist. (Round your answer to three decimal places. If you need to use or –, enter INFINITY or –INFINITY, respectively. If an answer does not exist, enter DNE.) lim x→−5 3x2 − 75 x+5Find the limit by using l'Hospital's Rule: lim (x->0+) [(xx - 1)/(lnx + x -1)]
- Estimate the limit numerically if it exists. (If you need to use or –, enter INFINITY or –INFINITY, respectively. If an answer does not exist, enter DNE.) lim x→3 x2 − 6 x − 3Fast pls solve this question correctly in 5 min pls I will give u like for sure Mnty determine the infinite limit. lim x->3 (x^2+6x)/(x²-6x+9)Find the limit analytically
- A tank contains 1300 L of pure water. The solution that contains 0.01 Kg of sugar per liter enters the tank at the rate of 7L/min. and is thoroughly mixed into it. The new solution drains out of the tank at the same rate. (a) How much sugar is in the tank at the beginning? y(0)= to( Kg (b) Find the amount of sugar after t minutes. y(t) = (kg) (c) As t becomes large what value is y(t) approaching? in other words, calculate the following limit lim t-oo y(t)= (kg)Evaluate the limit numerically or state that the limit does not exist. (Round your answer to three decimal places. If you need to use or –, enter INFINITY or –INFINITY, respectively. If an answer does not exist, enter DNE.) lim x → 7+ x-8 x2-49Say whether l'Hospital's rule applies. If it does, use it to evaluate the given limit. If not, use some other method. lim x→0 x3 + 8 x2 + 3x + 2
- Find the limits, using l’Hopital’s Rule where appropriate. If there is a more elementarymethod, you may consider using it. If l’Hopital’s rule doesn’t apply, explain why. (e). limx→∞ (1-3/x^2)^x^2Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→−7 x2 + 7/x + 7a. Graph h(x) = x2 cos (1/x3) to estimate limx-->0 h(x), zooming in on the origin as necessary. b. Confirm your estimate in part (a) with a proof.