The limits of two basic functions are are presented with examples and detailed solutions.

2. For f(x) = x,

Example 1: Find the following limits. 1. lim_{x→6} ( -2 ) 2. lim_{x→-∞} ( 0 ) 3. lim_{x→+∞} (x)

Solutions to Example 1: 1. The function is constant and equal to -2, we apply 1.a above, hence lim_{x→6} ( -2 ) = -2 2. The function is constant and equal to 0, we apply 1.c above, hence lim_{x→-∞} ( 0 ) = 0 2. The function is equal to x, we apply 2.b above, hence lim_{x→+∞} x = +∞

Exercises: Find the following limits. 1. lim_{x→-∞} ( 6 ) 2. lim_{x→-5} ( 0 ) 3. lim_{x→-∞} (x) 4. lim_{x→(1/2)} (x)

Solutions to Above Exercises: 1. lim_{x→-∞} ( 6 ) = 6 2. lim_{x→-5} ( 0 ) = 0 3. lim_{x→-∞} x = -∞ 4. lim_{x→(1/2)} x = (1/2)