Welcome, eager calculus student!
Prepare to dive deep into the wonders of calculus! This worksheet will guide you through a series of challenging yet rewarding problems that will sharpen your skills and expand your mathematical horizon.
- Evaluate the limit: \( \lim_{{x \to 2}} \frac{x^2 + 3x - 10}{x - 2} \).
- Find the derivative of \( f(x) = 3x^4 - 5x^3 + 7x - 9 \).
- Solve the integral: \( \int (2x^3 - 4x^2 + x - 5) \, dx \).
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Challenge of the Week 🌟
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Solve \( \int_0^1 (3x^2 - x) \, dx \).