Use \lim instead of \text{lim}. The subscript will then automatically appear underneath the limit (in display mode, but not in inline mode: $\displaystyle \lim_{x\to0+}$, $\textstyle\lim_{x\to0+}$).Peter said:In expressing a limit as below ...\(\displaystyle \text{lim}_{ x \rightarrow 0+ } \frac{ F( c + h ) - F(c) }{h} = f(c) \)How does one get the \(\displaystyle x \rightarrow 0+\) to appear under the text "lim"
The "Lim" symbol with a right arrow under it represents the limit of a function as the variable approaches a specific value. It is used in calculus to indicate the behavior of a function as the input gets closer and closer to a particular number.
The "Lim" symbol with a right arrow under it is read as "the limit of f(x) as x approaches a". The value of the limit is represented by the arrow pointing to a specific number on the number line.
The "Lim" symbol without the right arrow represents the limit of a function as x approaches infinity or negative infinity, while the "Lim" symbol with a right arrow represents the limit as x approaches a specific number. The arrow indicates which value the variable is approaching.
In calculus, the "Lim" symbol with a right arrow under it is used to describe the behavior of a function near a specific input value. It helps determine if a function is continuous or discontinuous at a certain point and can be used to find derivatives and integrals.
No, there are no specific restrictions or limitations to using the "Lim" symbol with a right arrow under it. However, it is important to understand the concept of limits and how they relate to the function being analyzed in order to use the symbol correctly in mathematical equations.