Final answer to the problem
$1$
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Step-by-step Solution
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- Choose an option
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Prove from LHS (left-hand side)
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1
Find the derivative of $x$ using the definition. Apply the definition of the derivative: $\displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}$. The function $f(x)$ is the function we want to differentiate, which is $x$. Substituting $f(x+h)$ and $f(x)$ on the limit, we get
$\lim_{h\to0}\left(\frac{x+h-x}{h}\right)$
2
Cancel like terms $x$ and $-x$
$\lim_{h\to0}\left(\frac{h}{h}\right)$
3
Simplify the fraction $\frac{h}{h}$ by $h$
$\lim_{h\to0}\left(1\right)$
4
The limit of a constant is just the constant
$1$
Final answer to the problem
$1$
