Drive the SM-S2309S (the one coming with the Arduino Kit) Servo using the Adafruit 16x12 bit Servo Shield

Servo.c

/*************************************************** 
  This is an example for our Adafruit 16-channel PWM & Servo driver
  Servo test - this will drive 16 servos, one after the other

  Pick one up today in the adafruit shop!
  ------> http://www.adafruit.com/products/815

  These displays use I2C to communicate, 2 pins are required to  
  interface. For Arduino UNOs, thats SCL -> Analog 5, SDA -> Analog 4

  Adafruit invests time and resources providing this open source code, 
  please support Adafruit and open-source hardware by purchasing 
  products from Adafruit!

  Written by Limor Fried/Ladyada for Adafruit Industries.  
  BSD license, all text above must be included in any redistribution
 ****************************************************/

#include <Wire.h>
#include <Adafruit_PWMServoDriver.h>

// called this way, it uses the default address 0x40
Adafruit_PWMServoDriver pwm = Adafruit_PWMServoDriver();
// you can also call it with a different address you want
//Adafruit_PWMServoDriver pwm = Adafruit_PWMServoDriver(0x41);

// Depending on your servo make, the pulse width min and max may vary, you 
// want these to be as small/large as possible without hitting the hard stop
// for max range. You'll have to tweak them as necessary to match the servos you
// have!
#define SERVOMIN  110 // this is the 'minimum' pulse length count (out of 4096)
#define SERVOMAX  520 // this is the 'maximum' pulse length count (out of 4096)

// our servo # counter
uint8_t servonum = 0;
uint16_t pulsedegree = 0;

//Run the show by pulse between SERVOMIN and SERVOMAX or by pulse/degree
//#define BYDEGREE
#define BYPULSE

void setup() {
  Serial.begin(9600);
  Serial.println("16 channel Servo test!");

#ifdef ESP8266
  Wire.pins(2, 14);   // ESP8266 can use any two pins, such as SDA to #2 and SCL to #14
#endif

  pwm.begin();
  
  pwm.setPWMFreq(60);  // Analog servos run at ~60 Hz updates

  yield();
}

// you can use this function if you'd like to set the pulse length in seconds
// e.g. setServoPulse(0, 0.001) is a ~1 millisecond pulse width. its not precise!
void setServoPulse(uint8_t n, double pulse) {
  double pulselength;
  
  pulselength = 1000000;   // 1,000,000 us per second
  pulselength /= 60;   // 60 Hz
  Serial.print(pulselength); Serial.println(" us per period"); 
  pulselength /= 4096;  // 12 bits of resolution
  Serial.print(pulselength); Serial.println(" us per bit"); 
  pulse *= 1000;
  pulse /= pulselength;
  Serial.println(pulse);
  pwm.setPWM(n, 0, pulse);
}

void loop() {


#ifdef BYPULSE  
  Serial.println("Degrees counting up:");
  for (uint16_t pulselen = SERVOMIN; pulselen < SERVOMAX; pulselen++) {
    delay(5);
    pwm.setPWM(0, 0, pulselen);
   
  }
  
  
  Serial.println("Degrees pulse counting down:");
  for (uint16_t pulselen = SERVOMAX; pulselen > SERVOMIN; pulselen--) {
    delay(5);
    pwm.setPWM(0, 0, pulselen);
   
  }

  delay(500);
#endif

#ifdef BYDEGREE

   for(uint8_t degrees = 1; degrees <=180;degrees++)
    {
      pulsedegree = map(degrees, 0, 180, SERVOMIN, SERVOMAX);
      pwm.setPWM(0, 0, pulsedegree);
      delay(1);
      Serial.println(degrees);
    }

   for(uint8_t degrees = 180; degrees >=1;degrees--)
    {
      pulsedegree = map(degrees, 0, 180, SERVOMIN, SERVOMAX);
      pwm.setPWM(0, 0, pulsedegree);
      delay(1);
      Serial.println(degrees);
    }

  delay(500);
#endif

 
}