Why can't the limit of (x + 6) e ^ (1 / x) - x (x tends to be positive infinity) be 6? Because the limit of e ^ (1 / x) is 1, then the original formula is x + 6-x, which is 6. What's wrong with this

RELATED INFORMATIONS

• 1. When x tends to infinity, how can the limit of (1 + 1 / x) ^ x not be 1, but e?
• 2. It is proved that if f (x) is continuous from negative infinity to positive infinity and the limit of F (x) exists when x tends to infinity, then f (x) must be bounded from negative infinity to positive infinity Ask for detailed proof
• 3. What's the limit of sin1 / X when x approaches zero? I want a specific step
• 4. X tends to 0. Is there a limit to X (sin1 / x)? Sin1 / X is meaningless!
• 5. When x tends to infinity, why is it wrong that the limit of xsin1 / x = the limit of X multiplied by the limit of sin1 / x = 0
• 6. ((x + 1) ^ (x + 1) / x ^ x) * sin1 / x x tends to infinity to find limit
• 7. Why is the limit of x times sin1 / X not one
• 8. How to prove the limit of X multiplied by sin1 / x? I can't understand it. I hope you can give me some advice It is proved by definition that x tends to 0 - and the limit value is 0
• 9. What is the limit of function f (x) = 1 Does it have limits? Yes, come on, I don't know calculus
• 10. The function f (x) = 1 / x, when x →∞, the limit of F (x) is 0, so according to the limit must converge, the function should be convergent and bounded, but real
• 11. Find the limit of (x ^ n) / e ^ ax when x tends to infinity
• 12. Find the limit of (x ^ (1 + x)) / ((1 + x) ^ x) - X / E at x positive infinity,
• 13. Finding the limit of x ^ 2 * e ^ 1 / X when x tends to 0
• 14. The limit of [(1 / X of 2 + e) / (2 / X of 1 + e) + |x | / x] when x tends to zero
• 15. What is the limit of 0 × 1 / x?
• 16. If f (3 ^ x) = 2x * log2 ^ 3, then the value of F (2 ^ 1005) is equal to,
• 17. As shown in the figure, ⊙ o is the circumscribed circle of ⊙ ABC, FH is the tangent of ⊙ o, the tangent point is f, FH ∥ BC, the bisector BD connecting AF to e, the bisector BD connecting AF to D, connecting BF. (1) prove that AF bisects ∠ BAC; (2) prove that BF = FD; (3) if EF = 4, de = 3, find the length of AD
• 18. If f (x) = ax - (a + 1) ln (x + 1), a is greater than or equal to - 1, how to calculate its derivative? I don't know how to calculate derivative?
• 19. Proof by pinch theorem lim[n→∞] {1/n^2 + 1/(n+1)^2 +∧+1/(2n)^2} =0
• 20. Write natural numbers from 360 to 630 with odd divisors