feat(Week05): Add exercises and solutions

1 files changed, 30 insertions, 0 deletions

diff --git a/Week05/Exercise19.cpp b/Week05/Exercise19.cpp
new file mode 100644
index 0000000..baad3c7
--- /dev/null
+++ b/Week05/Exercise19.cpp
@@ -0,0 +1,30 @@
+#include <iostream>
+
+int main()
+{
+    double x;
+    unsigned int n;
+    std::cin >> x >> n;
+
+    double sum = 0;
+
+    for (unsigned int k = 0; k <= n; k++) {
+        unsigned int l = 2 * k + 1;
+
+        double to_power = 1;
+        for (unsigned p = 1; p <= l; p++) {
+            to_power *= x;
+        }
+
+        unsigned int fac = 1;
+        for (unsigned i = 1; i <= l; i++) {
+            fac *= i;
+        }
+
+        sum += (k % 2 ? -1.0 : 1.0) * to_power / fac;
+    }
+
+    std::cout << sum << std::endl;
+
+    return 0;
+}