![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
It is proved by definition that when x tends to 1, LIM (3x + 2) = 5
For arbitrary ε> 0
take δ=ε/ three
When X-1|< δ When,
|3x+2 -5|=3|x-1|<3* ε/ 3= ε
So LIM (X -- > 1) (3x + 2) = 5
LIM (x trend - 1) (2x ^ 2-x-3) / (x + 1) = - 5 proved by definition
LIM (x trend - 1) (2x ^ 2-x-3) / (x + 1) = - 5 prove it by definition, thank you
Man, isn't that what this question is about?
LIM (x trend - 1) (2x ^ 2-x-3) / (x + 1) = LIM (x trend - 1) (2x-3) (x + 1) / (x + 1) = LIM (x trend - 1) (2x-3)
=-3 + 2 * LIM (x trend - 1) x = - 5
Limit of LIM (x → π) SiN x / X - π
Let a = x - π
Original formula = LIM (a → 0) sin (π + a) / A
=lim(a→0)(-sina)/a
=-1
Find the limit of LIM (x → 0) [(x-sinx) ÷ (x + SiNx)] Give me some steps to solve the problem. Thanks
0...... take the derivative of (1-cosx) / (1 + cosx) for the numerator and denominator respectively, and substitute x equal to zero to obtain the value of 0
Find the limit LIM (x → + ∞) (x-sinx) / x ^ 3
The key to solving the problem: the product of inverse substitution, infinitesimal and bounded variables is still infinitesimal
This question is a little strange. It should be asked that the limit of the original proposition is meaningful when x tends to 0
When x → 0, find the limit of LIM X / SiNx? But my answer is 0, X is infinitesimal, and 1 / SiNx is a bounded function, so the answer is 0. I don't know what's wrong,
Isn't this one of the two important limits? The limit is 1
RELATED INFORMATIONS
- 1. Find LIM (x → 0) (SiNx / x) ^ (cosx / 1-cosx)
- 2. Note the functions F1 (x) = f (x), F2 (x) = f (f (x)),... FN (x) = f (f... F (x)), and the intersection of the definition fields of these functions is d. if any x belongs to D Note that functions F1 (x) = f (x), F2 (x) = f (f (x)),... FN (x) = f (f... F (x)), the intersection of these function definition fields is d. if any x belongs to D, all n values satisfying FN (x) = f (x) constitute a set P, and all n values satisfying FN (x) = x constitute a set Q. (1). If f (x) = 1 / x, find sets P and Q, (2). For function f (x) = ax / (x + B) (a ＜ 0), 2 belongs to Q, find the relationship between a and B
- 3. Given that the definition domain of function f (x) is [0,1], find the definition domain of function g (x) = f (x + m) + F (x-m) (M > 0)
- 4. How much more is the quotient of the reciprocal of 7 divided by 6 than 1 / 5 of 25 You cannot use a segment calculation
- 5. [(- 3xy) square times x to the 3rd power - 2x square times (3xy Square) cube times Y / 2] divided by 9x to the 4th power y to the 3rd power Followed by y to the power of 2
- 6. Prove that | SiNx | is less than or equal to | X| Classified discussion, using derivative method.
- 7. The square of X + 1 = x (x + X part) is this factorization
- 8. The sixth power of X - the sixth power of Y + the fourth power of X + the square of X, the square of Y + the fourth power of Y,
- 9. It is known that the - x power of (1 / 3) is equal to one-third of the - y power of 2 and 3, equal to 5, and find the value of 2x-y power of 9
- 10. The calculation of the integral formula [(- 2 / 3) to the 8th power multiplied by (3 / 2) to the 8th power] to the 7th power
- 11. How to understand lobida's law?
- 12. On the problem of de centring neighborhood in Higher Mathematics When learning advanced mathematics, I encounter a problem: The neighborhood can be represented by {x | a - R < x < x + R} Then, if point a is removed, it becomes a de centered neighborhood, which can be expressed as: {x | 0 < | X - a | < R} I just can't turn around now. Why can I see | X - a | < R at a glance? Although I know that | X - a | < R is definitely right, I can't see it at a glance and ask for advice
- 13. Urgent! If the function f (x) is differentiable at x = 0, and f (0) = 0 x tends to 0: then find the limit f (x) / x =?
- 14. Differential mean value theorem problem It is known that f (x) is second-order differentiable on [a, b], a (a, f (a)), B (B, f (b)). Line segment AB intersects y = f (x) curve at another point C. verification: existence μ ∈ (a, b), so that the second derivative f '' (x) = 0, there is no reward,
- 15. 2. Among the eight numbers 3, 4, 5, 6, 7, 8 and 9, the sum of any four numbers is multiplied by the sum of the other four numbers, and () different products are obtained?
- 16. Three natural numbers add or multiply to get the same result. What are the three numbers? thinking
- 17. Multiply any two numbers from - 6, - 4, - 3, - 2, - 1,3,6, and record the maximum value as a and the minimum value as B. what is the value of a / D
- 18. Find the limit limnsin (2 π en!) (n - > ∞)
- 19. Limx → 0 ln (2-x ^ 2) - LN2) / cosx-1 limit
- 20. Limx → 0 ∫ cosx is the limit of negative T square / x square of the lower limit and 1 is the upper limit E. (detailed process.) thank you