Indefinite integral of the square of (x times the x power of E) / (x + 1)

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• 1. ∫ (3 + (arc TaNx power of 10)) / (1 + (2 power of x)) DX, find its indefinite integral! Most important!
• 2. Why is the limit of X / TaNx approaching 0 equal to 1? RT, please write the steps in detail,
• 3. Find the limit of (TaNx / x) ^ (1 / x ^ 2) when x tends to 0 Using the law of Robida, the answer is e ^ 1 / 3,
• 4. lim（x+x^2+…… +x^n-n）/(x-1)
• 5. Find Lim [x ^ (n + 1) - (n + 1) x + n] / (x-1) ^ 2 x -- > 1
• 6. When x tends to zero, five times SiNx, one-third equals zero
• 7. lim (x^2sin1/x) /sinx
• 8. LIM (x → 0) (tanx-x) / X3 is the answer 0? PS please see clearly that the molecule is tanx-x, not TaNx SiNx in common questions My own way is: the original formula = LIM (x → 0) (tanx-x) / tanx3 =LIM (x → 0) ((1 / TaNx Square) - X / tanx3 Square) =LIM (x → 0) (1 / xsquare - X / x3) = 0 I don't know if it's right,
• 9. How to do LIM ((TaNx SiNx) / x ^ 3) x - > 0
• 10. Lim e ^ x-e ^ SiNx / Tan ^ 2xln (1 + 2x) (x tends to 0)
• 11. Finding the fourth power of X of indefinite integral e: e ^ x ^ 4
• 12. Lim [[√ (x + 2) (x + 1)] - x] x approaches infinity. How to calculate this problem? The answer is 1 / 2
• 13. LIM (1 + KX) ^ (1 / x) = 2. X - > 0
• 14. LIM (1 + KX) ^ 1 / x = 2 find the value of K when x → 0
• 15. If LIM (x tends to 1) [(x ^ 3) + kx-2] / (x-1) is a finite value, then k =? As well as the idea of solving the problem to the idea sheet to 50
• 16. Let LIM (x →∞) (1 + 3 / x) ^ KX = e ^ (- 3), then K=____ The answer is k = - 1,
• 17. Let the coefficient of X3 in (AX2 + 1x) & nbsp; 4 expansion be 32, then LiMn →∞ (a + A2 +...) +an)=（　　） A. 14B. 12C. 2D. 1
• 18. What is the SiNx / X limit when x tends to zero and infinity? Y '= cosx / 1, is the cosx limit 0 or 1?
• 19. When x approaches infinity, does Lim sin (x ^ n) / x ^ n exist? When x approaches infinity, does Lim sin (x ^ n) / x ^ n exist?
• 20. LIM (n tends to positive infinity) (1 / 5) ＾ n is equal to what? How to consider or calculate in detail