### Determine if the following statement is true or false.If a piece of string has been chopped into \( n \) small pieces and the \( i \)th piece is \( \Delta x_i \) inches long, then the total length of the string is exactly \( \sum_{i=1}^{n} \Delta x_i \).---**Choose the correct answer below.**- **A.** The statement is false. The length of the string is \( \lim_{h \to 0} \sum_{i=1}^{n} \frac{\Delta x_{i+1} - \Delta x_i}{h} \).- **B.** The statement is false. The length of the string is \( \sum_{i=1}^{n} x_i \).- **C.** The statement is false. This is only an approximation of the length, not the exact length.- **D.** The statement is true.- **E.** The statement is false. The length of the string is \( |\Delta x_n - \Delta x_1| \).- **F.** The statement is false. The length of the string is \( \sum_{i=0}^{n} \Delta x_i \).

Given that the a piece of string has been chopped into n small pieces, ith piece is ∆xi inches long,…

Determine if the following statement is true or false. n If a piece of string has been chopped into n small pieces and the ith piece is Ax, inches long, then the total length of the string is exactly Ax Choose the correct answer below Axi +1-AX₁ n h→0 i=1 OA. The statement is false. The length of the string is lim - h n OB. The statement is false. The length of the string is Σx₁. i=1 OC. The statement is false. This is only an approximation of the length, not the exact length. D. The statement is true O E. The statement is false. The length of the string is AX-AX₁|- n OF. The statement is false. The length of the string is Σ Ax₁ i=0 i=1