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- Evaluate the limits. (You may not use L’Hopital’s Rule). limx→infinity tan^−1 (ln(1/x^2 + 2e^-x))Evaluate the limit. Use L'Hopital's Rule when it is convenient and applicable. The limit as x approaches pi over 2^- (x-pi/2)sec xuse l'hopital's rule to evaluate lim→∞ xsin1/x. Does L'Hopital's rule even apply here?
- 13) Prove limx->0 x2cos(1/x) = 0 by the theta - epsilon definition of a limit. (please check images for accuracy, thank you!!)Find the limit not using l'hospitals rule. limx→0 sin(x2)/ sin2(sin(2x))Find the limit. Use L’Hôpital’s Rule where appropriate. If there is a more elementary method, consider using it. If L’Hôpital’s Rule doesn’t apply, explain why. limx→∞ ln(√x) / x^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^2Using Epsilon del definition find the limitEvaluate the limit. Use L'Hopital's Rule when it is convenient and applicable. The limit as x approaches 0 cos3x-1/4x^2