MHB Evaluating/Simplifying an Expression

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The discussion revolves around simplifying a mathematical expression, specifically part f, where uncertainty exists regarding the correct steps to take. A participant expresses doubt about their approach and seeks guidance on whether they are on the right track. Another participant points out that the simplification of the expression leads to \frac{4h}{h}, indicating that x + h - x simplifies to h. This clarification suggests that the expression can be further reduced, emphasizing the importance of recognizing simplifications in algebraic expressions. Ultimately, the conversation highlights the need for clear understanding in evaluating and simplifying mathematical expressions.
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Part f. is the only expression I am unsure of what steps to take to get the correct answer.

Would anyone be willing to give me an idea?
 

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I went ahead and tried it, but I'm still uncertain if I am on the right track.
 

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Why did you stop at \frac{4h}{x+ h- x}? You are aware that x+ h- x= h, aren't you?
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...

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