TABLE COMPLETION: Investigate limits through table of values. 1. Complete the following tables of values to investigate lim (x2 - 2x + 4). X f (x) x f(x) 0.5 1.6 0.7 1.35 0.95 1.05 0.995 1.005 0.9995 1.0005 0.99995 1.00005 2. Complete the following tables of values to investigate lim X-0x+1 x f(x) X f(x) -1 1 -0.8 0.75 -0.35 0.45 -0.1 0.2 -0.09 0.09 -0.0003 0.0003 -0.000001 0.000001IDENTIFICATION: Read the following statements carefully. Identify words or group of words that correspond/s the following statement. Write your answer on the space provided before each number. 1. The mathematical study of change. 2. This theorem states that the limit of a sum of functions is the sum of the limits of the individual functions. 3. The backbone of calculus. 4. This theorem states that if n is a positive integer, the limit of the nth root of a function is just the ath root of the limit of the function, provided the nth root of the limit is a real number. 5. This theorem states that the limit of a multiple of a function is simply that multiple of the limit of the function. 6. This theorem states that the limit of a product of functions is equal to the product of their limits. 7. This theorem states that the limit of a quotient of functions is equal to the quotient of the limits of the individual functions, provided the denominator limit is not equal to 0. 8. This theorem states that the limit of a difference of functions is the difference of their limits. 9. These theorems may be applied to sums, differences, and products of more than two functions. 10. This theorem states that the limit of an integer power p of a function is just that power of the limit of the function