some typos

quarto/limits/limits_extensions.qmd

@@ -876,7 +876,7 @@ numericq(-1)
 ###### Question
 
 
-As mentioned, for limits that depend on specific values of parameters `SymPy` may have issues. As an example, `SymPy` has an issue with the following limit, whose answer  depends on the value of $k$"
+As mentioned, for limits that depend on specific values of parameters `SymPy` may have issues. As an example, `SymPy` has an issue with the following limit, whose answer  depends on the value of "$k$"
 
 
 $$
@@ -1017,7 +1017,7 @@ radioq(choices, answ, keep_order=true)
 Suppose a sequence of points $x_n$ converges to $a$ in the limiting sense. For a function $f(x)$, the sequence of points $f(x_n)$ may or may not converge.  One alternative definition of a [limit](https://en.wikipedia.org/wiki/Limit_of_a_function#In_terms_of_sequences) due to Heine is that $\lim_{x \rightarrow a}f(x) = L$ if *and* only if **all** sequences $x_n \rightarrow a$ have $f(x_n) \rightarrow L$.
 
 
-Consider the function $f(x) = \sin(1/x)$, $a=0$, and the two sequences implicitly defined by $1/x_n = \pi/2 + n \cdot (2\pi)$ and $y_n = 3\pi/2 + n \cdot(2\pi)$, $n = 0, 1, 2, \dots$.
+Consider the function $f(x) = \sin(1/x)$, $a=0$, and the two sequences implicitly defined by $1/x_n = \pi/2 + n \cdot (2\pi)$ and $1/y_n = 3\pi/2 + n \cdot(2\pi)$, $n = 0, 1, 2, \dots$.
 
 
 What is $\lim_{x_n \rightarrow 0} f(x_n)$?