Common pitfalls in H2 Math proofs and how to avoid them

Common pitfalls in H2 Math proofs and how to avoid them

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Frequently Asked Questions

Forgetting to show the base case (usually n=1) holds true before proceeding with the inductive step. Always verify the base case!
Be extremely careful when multiplying or dividing by a negative number. Remember to flip the inequality sign.
Only manipulating one side of the equation to match the other. Avoid working on both sides simultaneously, as this can lead to circular reasoning.
Failing to clearly state the initial assumption that contradicts the statement they are trying to prove. Make your initial contradictory assumption explicit.
Ensure you understand the formal definition of a limit. Avoid blindly applying rules without checking if the conditions for their use are satisfied.
Incorrectly assuming vectors are parallel or perpendicular without proper justification. Always provide a valid reason based on dot or cross products.
Be cautious when taking square roots of negative numbers. Remember that √(-a) = i√a, where i is the imaginary unit.
Assuming matrix multiplication is commutative (AB = BA). Matrix multiplication is generally not commutative.
Ensure you correctly identify the values of n and r in the binomial coefficient (nCr). Double-check your calculations.
Forgetting to include the constant of integration (+C) after performing indefinite integration. Always add +C unless you have definite limits.