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Struggling with functional equations for your math midterm? This post provides tips and tricks including substituting values using mathematical induction and finding fixed points to help you solve these challenging problems.
Conquer the CBSE Board Exams 2025 with our guide! Learn effective study strategies, time management tips, and overcome exam anxiety for success.
Find \( \lim_{x \to 3} (2x + 5) \) Solution:To solve this limit, we substitute the value of \( x \) directly because the function is continuous at \( x = 3 \).\( \lim_{x \to 3} (2x + 5) = 2(3) + 5 = 6 + 5 = 11 \)
5 Basic Problems on Limits just to refresh your mind. Problem 1 Find the limit: \( \lim_{x \to 2} (3x - 4) \) Solution: To solve this limit, we substitute the value of \(x\) directly because the function is continuous at \(x = 2\). \[ \lim_{x \to 2} (3x - 4) = 3(2) -...
Based on the information provided, the metal compound A reacts with dilute hydrochloric acid to produce effervescence, and the gas evolved extinguishes a burning candle. Additionally, one of the compounds formed in the reaction is calcium chloride. Let's write the...
When an acid reacts with a metal, hydrogen gas (H2) is usually liberated. The reaction between an acid and a metal is a type of single-displacement or single-replacement reaction, where the more reactive metal displaces hydrogen from the acid, forming a metal salt and...
Curd and sour substances should not be kept in brass and copper vessels because these metals can react with acidic foods, leading to potential health hazards. The main concern is the leaching of toxic metals into the food or liquid being stored, which can contaminate...
1. The reaction between hydrogen gas and oxygen gas to form water: 2H2 + O2 → 2H2O 2. The reaction between iron and sulfur to form iron sulfide: Fe + S → FeS 3. The reaction between magnesium and oxygen to form magnesium oxide: 2Mg + O2 → 2MgO 4. The reaction between...