Name: _______________________________ Id Number:__________ Section: __________ Score: _____________ EXERCISE 2.1 LIMITS OF A FUNCTION Objective After completing this chapter, the students should be able to: 1. Solve the limit of functions using the knowledge gained in algebra. 2. Realize the relevance of limits as a foundation of calculus 3. Familiarize themselves to the use of special limiting values in evaluating limits. Direction. Evaluate the limit of the following functions. 1. lim (π₯ 3 + 2π₯ 2 − 3π₯ − 4) π₯→−1 2. lim π₯→−3 π₯ 2 −5π₯−24 π₯+3 2. LIMITS AND CONTINUITY 1 3. lim π₯ 2 cos π₯ π₯→0 4. lim π₯ 2 −1 π₯→1 π₯ 3 −1 sin 5π₯ 5. lim sin 7π₯ π₯→0 2. LIMITS AND CONTINUITY 6. limπ tan π₯ π→ 2 7. lim sin 2π₯+sin 3π₯ π₯→0 π₯ √π₯−2 π₯→4 π₯−4 8. lim 2. LIMITS AND CONTINUITY √π₯−2 9. lim π₯2 −4 π₯→2 10. lim π₯ 2 +3π₯+2 π₯→−1 π₯ 2 +4π₯+3 2. LIMITS AND CONTINUITY Name: _______________________________ Id Number:__________ Section: __________ Score: _____________ EXERCISE 2.2 LIMITS OF A FUNCTION Objective After completing this chapter, the students should be able to: 1. Solve the limit of functions using the knowledge gained in algebra. 2. Realize the relevance of limits as a foundation of calculus 3. Familiarize themselves to the use of special limiting values in evaluating limits. Direction. Evaluate the limit of the following functions. 1. lim π₯→∞ 2. lim π₯→∞ π₯ 2 +5π₯+6 π₯+1 5π₯ 3 −π₯ 2 +10 π₯ 4 +π₯+3 2. LIMITS AND CONTINUITY 3. lim 2π₯ 2 +1 π₯→∞ 6+π₯−3π₯ 2 4. lim π₯→∞ 5. lim 3π₯ 4 +100π₯ 3 +4 8π₯ 4 +1 5π₯+2 π₯→∞ √4π₯ 2 −15 2. LIMITS AND CONTINUITY